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Astashkin, Sergei Vladimirovich

Total publications: 201 (198)
in MathSciNet: 139 (137)
in zbMATH: 68 (67)
in Web of Science: 97 (96)
in Scopus: 103 (103)
Cited articles: 129
Citations: 851
Presentations: 7

Number of views:
This page:6702
Abstract pages:33132
Full texts:10978
References:4359
Astashkin, Sergei Vladimirovich
Professor
Doctor of physico-mathematical sciences (1999)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 15.04.1956
E-mail: ,
Keywords: interpolation of operators, real K-method of interpolation, independent functions, Rademacher system, rearrangement invariant spaces, orthogonal series, extrapolation of operators.
   
Main publications:
  1. S. V. Astashkin, M. Milman, “Extrapolation Stories and Problems”, Pure and Appl. Funct. Anal., 6:3 (2021), 651–707  mathscinet
  2. S. V. Astashkin, The Rademacher system in function spaces, Birkhäuser, 2020 , 559 pp.
  3. S. V. Astashkin, “$\Lambda(p)$–spaces”, J. Funct. Anal., 266 (2014), 5174–5198  crossref  mathscinet  elib
  4. S. V. Astashkin, F. A. Sukochev, “Independent functions and the geometry of Banach spaces”, Russian Math. Surveys, 65:6 (2010), 1003–1081  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
  5. S. V. Astashkin, “Systems of random variables equivalent in distribution to the Rademacher system and $\mathscr K$-closed representability of Banach couples”, Sb. Math., 191:6 (2000), 779–807  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

https://www.mathnet.ru/eng/person8713
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/197703
https://orcid.org/0000-0002-8239-5661
https://www.researchgate.net/profile/Sergey_Astashkin2

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. S.V. Astashkin, K.V. Lykov, M. Milman, “Majorization revisited: Comparison of norms in interpolation scales”, Math. Annalen (Published online) https://doi.org/10.1007/s00208- 023-02606-w
2. S.V. Astashkin, G.P. Curbera, “Symmetric finite representability of \ell^-spaces in rearrangement invariant spaces on [0,1]”, Rev. Mat. Complut. (Published online) https://doi.org/10.1007/023-00464-3

   2024
3. S. V. Astashkin, K. V. Lykov, “On unconditionality of fractional Rademacher chaos in symmetric spaces”, Izv. Math., 88:1 (2024), 1–17  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus
4. S. V. Astashkin, E. M. Semenov, “On a property of the Rademacher system and $\Lambda(2)$-spaces”, Sb. Math., 215:3 (2024), 291–307  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus
5. S. V. Astashkin, “On subspaces of Orlicz spaces spanned by independent copies of a mean zero function”, Izv. Math., 88:4 (2024), 601–625  mathnet  crossref  crossref  mathscinet  isi  scopus
6. S. V. Astashkin, “Sequences of independent functions and structure of rearrangement invariant spaces”, Russian Math. Surveys, 79:3 (2024), 375–457  mathnet  crossref  crossref  mathscinet
7. S. V. Astashkin, “On isomorphic embeddings in the class of disjointly homogeneous rearrangement invariant spaces”, Sibirsk. Mat. Zh., 65:3 (2024), 435–445  mathnet  crossref
8. S. V. Astashkin, K. V. Lykov, Uspekhi Mat. Nauk  mathnet  crossref

   2024
9. S. V. Astashkin, V. M. Ershov, “Two remarks on properties of functions of bounded variation”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 30:3 (2024), 7–16  mathnet  crossref

   2023
10. S.V. Astashkin, “The structure of subspaces in Orlicz spaces lying between L^1 and L^2”, Mathematische Zeitschrift, 303 (2023), 91 https://doi.org/10.1007/s00209- 023-03255-0  crossref 5
11. S. V. Astashkin, “On Lattice Properties of the Lorentz Spaces $L_{p,q}$”, Math. Notes, 113:1 (2023), 10–17  mathnet  crossref  crossref  mathscinet  scopus
12. S. V. Astashkin, “Spectral properties of the dilation operator in rearrangement invariant spaces of fundamental type”, Siberian Math. J., 64:1 (2023), 1–12  mathnet  crossref  crossref
13. S.V. Astashkin, P.G. Nilsson, “A description of interpolation spaces for quasi-Banach couples by real K-method”, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 117 (2023), no. 35  crossref
14. S.V. Astashkin, P.G. Nilsson, M. Cwikel, “Arazy-Cwikel and Calderon-Mityagin type properties of the couples (\ell^p,\ell^q), 0\le p < q \le \infty.”, Annali di Matematica Pura ed Applicata, 202:4 (2023), 1643-1678 https://doi.org/10.1007/022-01296-6  crossref 2
15. S. V. Astashkin, “On Various Notions of Representability of $l_r$-Spaces in Orlicz Function Spaces”, Math. Notes, 114:3 (2023), 403–406  mathnet  crossref  crossref  mathscinet  scopus
16. S. V. Astashkin, “On subspaces of an Orlicz space spanned by independent identically distributed functions”, Dokl. Math., 108:1 (2023), 297–299  mathnet  crossref  crossref  elib
17. S. V. Astashkin, “All-Russian scientific conference “Mathematics and Mathematical Modeling””, Vestnik SamU. Estestvenno-Nauchnaya Ser., 29:3 (2023), 7  mathnet  crossref

   2022
18. S. V. Astashkin, P. A. Terekhin, “On Quasibases and Bases of Symmetric Spaces Consisting of Nonnegative Functions”, Proc. Steklov Inst. Math., 319 (2022), 13–21  mathnet  crossref  crossref  crossref  scopus
19. S. V. Astashkin, G. P. Curbera, “Rosenthal's space revisited”, Studia Mathematica, 262:2 (2022), 197–224 , arXiv: https://arxiv.org/abs/3204379  crossref  mathscinet  isi 3
20. S. V. Astashkin, P. A. Terekhin, “Sequences of dilations and translations equivalent to the Haar system in L^p-spaces”, J. Approx. Theory, 274 (2022), no. 105672 https://doi.org/10.1016/j.jat.2021.105672  crossref
21. S. V. Astashkin, “Symmetric finite representability of \ell^p-spaces in rearrangement invariant spaces on (0,\infty)”, Math. Annalen, 383:3-4 (2022), 1489-1520 https://doi.org/10.1007/s00208-021-02277-5  crossref 6
22. S. Astashkin, F. Sukochev, D. Zanin, “The distribution of a random variable whose independent copies span \ell_M is unique”, Rev. Mat. Compl., 35:3 (2022), 815-834 https://doi.org/10.1007/s13163-021-00406-x  crossref 7
23. S. V. Astashkin, D. N. Galich, “Estimating the measure of $k$-fold intersections of $k$-fold stretched intervals”, Russian Math. (Iz. VUZ), 66:10 (2022), 67–72  mathnet  crossref  crossref
24. S. V. Astashkin, “Binary Orlicz spaces”, Dokl. Math., 106:2 (2022), 315–317  mathnet  crossref  crossref  mathscinet  elib
25. S.V. Astashkin, P.G. Nilsson, “Arazy-Cwikel property for quasi-Banach couples”, Positivity, 26:4 (2022), no. 72  crossref 3
26. S.V. Astashkin, “A characterization of \ell^p-spaces symmetrically finitely represented in symmetric sequence spaces”, Banach J. Math. Anal., 16:2 (2022), no. 30  crossref
27. S.V. Astashkin, J. Huang, F. Sukochev, M. Pliev, D. Zanin, “Optimal Range of Haar Martingale Transforms and Its Applications”, International Mathematics Research Notices, rnac273 (2022) https://doi.org/10.1093/imrn/rnac273 3

   2021
28. S. V. Astashkin, “Sequences of independent functions in rearrangement invariant spaces”, Siberian Math. J., 62:2 (2021), 189–198  mathnet  crossref  crossref  isi  elib  scopus
29. S. V. Astashkin, E. M. Semenov, “Orthogonality in nonseparable rearrangement-invariant spaces”, Sb. Math., 212:11 (2021), 1553–1570  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus
30. S. V. Astashkin, “Disjointly homogeneous Orlicz spaces revisited”, Annali di Matematica Pura ed Applicata, 200 (2021), 2689–2713 , arXiv: 3179604 [math.FA]  crossref  scopus 1
31. S. V. Astashkin, K. V. Lykov, “Extrapolation description of limiting interpolation $J$-spaces”, Pure and Appl. Funct. Anal., 6:3 (2021), 511–529  mathscinet
32. S. V. Astashkin, M. Milman, “Extrapolation Stories and Problems”, Pure and Appl. Funct. Anal., 6:3 (2021), 651–707  mathscinet
33. S. V. Astashkin, “Compact and strictly singular operators in rearrangement invariant spaces and Rademacher functions”, Positivity, 25 (2021), 159–175  crossref  mathscinet  isi  scopus 1
34. S. V. Astashkin, J. Huang, F. Sukochev, “Lack of isomorphic embeddings of symmetric function spaces into operator ideals”, J. Funct. Anal., 280:5 (2021), 108895  crossref  mathscinet  isi  scopus 3

   2020
35. S. V. Astashkin, P. A. Terekhin, “Representation of functions in symmetric spaces by dilations and translations”, Funct. Anal. Appl., 54:1 (2020), 45–48  mathnet  crossref  crossref  mathscinet  mathscinet  isi  elib  scopus
36. S. V. Astashkin, E. M. Semenov, “On a Property of Rearrangement Invariant Spaces whose Second Köthe Dual is Nonseparable”, Math. Notes, 107:1 (2020), 10–19  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
37. S. V. Astashkin, S. I. Strakhov, “On Disjointly Homogeneous Orlicz–Lorentz Spaces”, Math. Notes, 108:5 (2020), 631–642  mathnet  crossref  crossref  crossref  mathscinet  isi  elib  elib  scopus
38. S. V. Astashkin, “Symmetric finite representability of $\ell^p$ in Orlicz spaces”, Vestn. SamU. Estestvennonauchn. ser., 26:4 (2020), 15–24  mathnet  crossref  mathscinet
39. S. V. Astashkin, “A version of Calder\{o}n-Mityagin theorem for the class of rearrangement invariant groups”, Nonlinear Analysis, 200 (2020), 112063  crossref  mathscinet  isi  scopus 3
40. S. V. Astashkin, M. Milman, “Garsia-Rodemich spaces: Local maximal functions and interpolation”, Studia Mathematica, 255:1 (2020), 1–26  crossref  mathscinet  isi  scopus 3
41. S. V. Astashkin, P. A. Terekhin, “Representing systems of dilations and translations in symmetric function spaces”, J. Fourier Anal. Appl., 26:1 (2020), 13 , arXiv: 1903.07094v1 [math.FA]  crossref  mathscinet  isi  scopus 2
42. S. V. Astashkin, E. M. Semenov, “Orthogonal elements in nonseparable rearrangement invariant spaces”, Doklady Math., 102:3 (2020), 449–450  mathnet  crossref  crossref  zmath  isi  elib  scopus
43. S. V. Astashkin, The Rademacher system in function spaces, Birkhäuser, 2020 , 559 pp.

   2019
44. S. V. Astashkin, “On a Theorem of Kadets and Pełczyński”, Math. Notes, 106:2 (2019), 172–182  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
45. S. V. Astashkin, E. M. Semenov, “Some properties of embeddings of rearrangement invariant spaces”, Sb. Math., 210:10 (2019), 1361–1379  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
46. S. V. Astashkin, “On some class of interpolation functors”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 25:2 (2019), 7–20  mathnet  crossref  mathscinet
47. S. V. Astashkin, “Some remarks about disjointly homogeneous symmetric spaces”, Rev. Mat. Complut., 32:3 (2019), 823–835 , arXiv: 2223290 [math.FA]}{2223290 [math.FA]}  crossref  mathscinet  isi  scopus 4
48. S. V. Astashkin, “Rearrangement invariant spaces satisfying Dunford-Pettis criterion of weak compactness”, Contemp. Math., 733 (2019), 45–59  crossref  isi  scopus 7
49. S. V. Astashkin, K. V. Lykov, M. Milman, “Limiting interpolation spaces via extrapolation”, J. Approx. Theory, 240 (2019), 16–70  crossref  mathscinet  isi  scopus 9
50. S. V. Astashkin, “Duality problem for disjointly homogeneous rearrangement invariant spaces”, J. Funct. Anal., 276 (2019), 3205–3225 , arXiv: 1805.00691v1 [math.FA]  crossref  mathscinet  isi  scopus 7
51. S. V. Astashkin, “A sharp version of commutator theorem for the real method of interpolation”, Proc. Amer. Math. Soc., 147:2 (2019), 711–725  crossref  mathscinet  isi  scopus
52. S. V. Astashkin, K. Le\{s}nik, L. Maligranda, “Isomorphic structure of Cesaro and Tandori spaces”, Canad. J. Math., 71:3 (2019), 501–532  crossref  mathscinet  isi  scopus 3
53. S. V. Astashkin, “On some problems of the theory of disjointly homogeneous symmetric spaces”, Proc. Lobachevskii Math. Center, 57 (2019), 40–45

   2018
54. S. V. Astashkin, P. A. Terekhin, “Basis properties of affine Walsh systems in symmetric spaces”, Izv. Math., 82:3 (2018), 451–476  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
55. S. V. Astashkin, S. I. Strakhov, “On symmetric spaces with convergence in measure on reflexive subspaces”, Russian Math. (Iz. VUZ), 62:8 (2018), 1–8  mathnet  crossref  mathscinet  zmath  isi  scopus
56. S. V. Astashkin, P. A. Terekhin, “Affine Walsh-type systems of functions in symmetric spaces”, Sb. Math., 209:4 (2018), 469–490  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
57. S. V. Astashkin, G. P. Curbera, “Random unconditional convergence and divergence in Banach spaces close to $L^1$”, Rev. Mat. Complut., 31:2 (2018), 351–377  crossref  mathscinet  isi  scopus 1
58. S. V. Astashkin, P. A. Terekhin, “Sequences of dilations and translations in function spaces”, J. Math. Anal. Appl., 457 (2018), 645–671  crossref  mathscinet  isi  scopus 1
59. S. V. Astashkin, L. Maligranda, “$L_p+L_q$ and $L_p\cap L_q$ are not isomorphic for all $1\le p,q\le\infty$, $p\ne q$”, C.R. Acad. Sci. Paris, Ser. I, 356 (2018), 661–665 , arXiv: 2223358 math.FA  crossref  isi  scopus 2
60. S. V. Astashkin, L. Maligranda, “$L_p+L_\infty$ and $L_p\cap L_\infty$ are not isomorphic for all $p\in ]1.2)\cup (2,\infty)$”, Proc. Amer. Math. Soc., 146:5 (2018), 2181–2194 , arXiv: 1852164 math.FA  crossref  mathscinet  isi  scopus 4
61. S. V. Astashkin, E. M. Semenov, “Strict embeddings of rearrangement invariant spaces”, Doklady Math., 98:1 (2018), 327–329  crossref  crossref  isi  scopus

   2017
62. S. V. Astashkin, “On comparing systems of random variables with the Rademacher sequence”, Izv. Math., 81:6 (2017), 1063–1079  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
63. S. V. Astashkin, “On subspaces of Cesàro spaces”, Siberian Math. J., 58:6 (2017), 952–958  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
64. S. V. Astashkin, K. V. Lykov, “\it Jawerth-Milman extrapolation theory: Some recent developments with applications”, Contemp. Math., 693 (2017), 7–53  crossref  isi  scopus
65. S. V. Astashkin, “Rademacher functions in weighted symmetric spaces”, Israel J. Math., 218:1 (2017), 371–390  crossref  mathscinet  isi  elib  scopus 1
66. S. V. Astashkin, “On symmetric spaces with Kato property”, Proc. Lobachevskii Math. Center, 54 (2017), 51–54
67. S. V. Astashkin, P. A. Terekhin, “On the boundedness of operator generated by the Haar multishift”, Doklady Math., 96:2 (2017), 442–444  crossref  crossref  mathscinet  isi  elib  elib  scopus
68. S. V. Astashkin, Sistema Rademakhera v funktsionalnykh prostranstvakh, Fizmatlit, Moskva, 2017 , 550 pp.
69. S. V. Astashkin, K. V. Lykov, “Sparse Rademacher chaos in symmetric spaces”, St. Petersburg Math. J., 28:1 (2017), 1–20  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2016
70. S. V. Astashkin, E. M. Semenov, “On Fourier Coefficients of Lacunary Systems”, Math. Notes, 100:4 (2016), 507–514  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
71. S. V. Astashkin, E. M. Semenov, “Lebesgue constants of the Walsh system and Banach limits”, Siberian Math. J., 57:3 (2016), 398–410  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
72. S. V. Astashkin, “On symmetric spaces containing isomorphic copies of Orlicz sequence spaces”, Commentationes Math., 56:1 (2016), 29–44  mathscinet
73. S. V. Astashkin, L. Maligranda, “Rademacher functions in Morrey spaces”, J. Math. Anal. Appl., 441:2 (2016), 1133–1154  crossref  isi  scopus 2
74. S. Astashkin, F. Sukochev, “Randomized Operators on Matrices and Applications”, Integral equations and operator theory, 86:3 (2016), 333–358  crossref  mathscinet  isi  scopus
75. S. V. Astashkin, M. Mastylo, “Rademacher functions in Nakano spaces”, Analysis and PDE, 9:1 (2016), 1–14  crossref  mathscinet  isi  scopus 2
76. S. V. Astashkin, G. Curbera, K. E. Tikhomirov, “On the existence of RUC-systems in rearrangement invariant spaces”, Math. Nachr., 289:2-3 (2016), 175–186  crossref  mathscinet  isi  elib  scopus 5
77. S. V. Astashkin, “Letter to the editors”, Algebra i Analiz, 28:3 (2016), 190–192  mathnet  mathscinet  elib
78. S. V. Astashkin, “Martingale transforms of a Rademacher sequence in symmetric spaces”, St. Petersburg Math. J., 27:2 (2016), 191–206  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2015
79. S. V. Astashkin, E. M. Semenov, “Paley spaces”, Siberian Math. J., 56:1 (2015), 21–27  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
80. S. Astashkin, F. Sukochev, D. Zanin, “On uniqueness of distribution of a random variable whose independent copies span a subspace in $L_p$”, Stud. Math., 230:1 (2015), 41–57  mathscinet  elib
81. S. V. Astashkin, “Disjointly homogeneous rearrangement invariant spaces via interpolation”, J. Math. Anal. Appl., 421:1 (2015), 338–361  crossref  mathscinet  elib 7
82. S. V. Astashkin, L. Maligranda, “Structure of Rademacher subspaces in Cesaro type spaces”, Stud. Math., 226:3 (2015), 259–279  crossref  mathscinet  elib 2
83. S. V. Astashkin, G. P. Curbera, “Local Khintchine inequality in rearrangement invariant spaces”, Annali di Matematica Pura ed Applicata, 194 (2015), 619–643  crossref 7
84. S. V. Astashkin, E. M. Semenov, “Lebesgue constants of the Walsh system”, Doklady Math., 91:3 (2015), 344–346  crossref  mathscinet  elib

   2014
85. S. V. Astashkin, “Khintchine Inequality for Sets of Small Measure”, Funct. Anal. Appl., 48:4 (2014), 235–241  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
86. S. V. Astashkin, “Approximation of Subspaces of Symmetric Spaces Generated by Independent Functions”, Math. Notes, 96:5 (2014), 625–633  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
87. S. V. Astashkin, “Martingale Rosenthal inequalities in symmetric spaces”, Sb. Math., 205:12 (2014), 1720–1740  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
88. S. V. Astashkin, “$\Lambda(p)$–spaces”, J. Funct. Anal., 266 (2014), 5174–5198  crossref  mathscinet  elib 18
89. S. V. Astashkin, L. Maligranda, “Structure of Cesaro function spaces: a survey”, Function Spaces X (Pozna\{n}, Poland, July 9-13, 2012), 102, eds. H. Hudzik, G. Lewicki, J. Musielak, M. Nowak, L. Skrzypczak, M. Wis\la, Banach Center Publ., Warszawa, 2014, 13–40  mathscinet
90. S. Astashkin, F. Sukochev, D. Zanin, “Disjointification inequalities in symmetric quasi-Banach spaces and their applications”, Pacific J. Math., 214:2 (2014), 257–285  crossref  mathscinet 13
91. S. V. Astashkin, F. A. Sukochev, “Orlicz sequence spaces spanned by identically distributed independent random variables in $L_p$–spaces”, J. Math. Anal. Appl., 413 (2014), 1–19  crossref  mathscinet  elib 15
92. S. V. Astashkin, G. P. Curbera, “A weighted Khintchine inequality”, Revista Mat. Iberoamericana, 30:1 (2014), 237–246  crossref  mathscinet  elib 4
93. S. V. Astashkin, “On subspaces generated by independent functions in symmetric spaces with Kruglov property”, St. Petersburg Math. J., 25:4 (2014), 513–527  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2013
94. S. V. Astashkin, “On Complementability of Subspaces in Symmetric Spaces with the Kruglov Property”, Funct. Anal. Appl., 47:2 (2013), 148–151  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
95. S. V. Astashkin, E. M. Semenov, “Spaces defined by the Paley function”, Sb. Math., 204:7 (2013), 937–957  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
96. S. V. Astashkin, L. Maligranda, R. S. Sukhanov, “Sequences of independent Walsh functions in BMO”, Siberian Math. J., 54:2 (2013), 205–211  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
97. S. V. Astashkin, L. Maligranda, K. E. Tikhomirov, “New examples of K-monotone weighted Banach couples”, Stud. Math., 218:1 (2013), 55–88  crossref  mathscinet  elib 3
98. S. V. Astashkin, L. Maligranda, “Interpolation of Cesaro and Copson spaces”, Banach and function spaces IV. International Symposium (Kitakyushu, Japan, 2012), eds. M. Kato, L. Maligranda, Yokohama Publishers, 2013, 123–133
99. S. V. Astashkin, K. E. Tikhomirov, “A probabilistic version of Rosenthals inequality”, Proc. Amer. Math. Soc., 141:10 (2013), 3539–3547  crossref  mathscinet  elib 1
100. S. V. Astashkin, L. Maligranda, “A short proof of some recent results related to Cesaro function spaces”, Indag. Math., 24 (2013), 589–592  crossref  mathscinet  elib 1
101. S. V. Astashkin, L. Maligranda, “Interpolation of Cesaro sequence and function spaces”, Stud. Math., 215:1 (2013), 39–70  crossref  mathscinet  elib 7
102. S. V. Astashkin, F. A. Sukochev, C. P. Wong, “Distributionally concave symmetric spaces and uniqueness of symmetric structure”, Advances in Math., 232 (2013), 399–431  crossref  mathscinet 8

   2012
103. S. V. Astashkin, “Rosenthal type inequalities for martingales in symmetric spaces”, Russian Math. (Iz. VUZ), 56:11 (2012), 52–57  mathnet  crossref  mathscinet  zmath  scopus
104. S. V. Astashkin, R. S. Sukhanov, “On Certain Properties of Rademacher Chaos”, Math. Notes, 91:5 (2012), 613–624  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
105. S. V. Astashkin, “On the geometric properties of Cesàro spaces”, Sb. Math., 203:4 (2012), 514–533  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
106. S. V. Astashkin, “Geometrical properties of Banach spaces generated by sublinear operators”, Positivity, 17:2 (2012), 223–234  crossref 6
107. S. V. Astashkin, K. V. Lykov, M. Mastylo, “On extrapolation of rearrangement invariant spaces”, Nonlinear Analysis, 75 (2012), 2735–2749  crossref  mathscinet  elib 4
108. S. V. Astashkin, E. M. Semenov, “Haar Series and Spaces Determined by the Paley Function”, Doklady Math., 86:1 (2012), 539–541  crossref  mathscinet  elib
109. S. V. Astashkin, “On finite representability of $l_p$-spaces in rearrangement invariant spaces”, St. Petersburg Math. J., 23:2 (2012), 257–273  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2011
110. S. V. Astashkin, L. Maligranda, “Geometry of Cesàro Function Spaces”, Funct. Anal. Appl., 45:1 (2011), 64–68  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
111. S. V. Astashkin, K. E. Tikhomirov, “On Probability Analogs of Rosenthal's Inequality”, Math. Notes, 90:5 (2011), 644–650  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
112. S. V. Astashkin. F. A. Sukochev, C. P. Wong, “Disjointification of martingale differences and conditionally independent random variables with some\ applications”, Stud. Math., 205:2 (2011), 171–200  crossref  mathscinet  elib 10
113. S. V. Astashkin, M. Leibov, L. Maligranda, “Rademacher functions in $BMO$”, Stud. Math., 205:2 (2011), 83–100  crossref  mathscinet  elib 8
114. S. V. Astashkin, F. A. Sukochev, “Symmetric quasi–norms of sums of independent random variables in symmetric function spaces with the Kruglov operator”, Israel J. of Math., 184:1 (2011), 455–476  crossref  mathscinet 4
115. S. V. Astashkin, F. A. Sukochev, “Symmetric quasi–norms of sums of independent random variables in symmetric function spaces with the Kruglov operator”, Israel J. of Math., 184:1 (2011), 455–476  crossref  mathscinet 4
116. S. V. Astashkin, K. V. Lykov, “Extrapolation description of rearrangement invariant spaces and related problems”, Proceedings of International Symposium on Banach and Function Spaces III (Kitakyushu, Japan, 2009), eds. M. Kato, L. Maligranda, Yokohama Publisher, 2011, 1–52  mathscinet
117. S. V. Astashkin, “Rademacher series and isomorphisms of rearrangement invariant spaces on the finite interval and on the semi–axis”, J. Funct. Anal., 260 (2011), 195–207  crossref  mathscinet  elib 6

   2010
118. S. V. Astashkin, K. E. Tikhomirov, “On Stably $\mathcal{K}$-Monotone Banach Couples”, Funct. Anal. Appl., 44:3 (2010), 212–215  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
119. S. V. Astashkin, “On the Comparison of Distribution Functions of Random Variables”, Math. Notes, 87:1 (2010), 15–22  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
120. S. V. Astashkin, F. A. Sukochev, “Independent functions and the geometry of Banach spaces”, Russian Math. Surveys, 65:6 (2010), 1003–1081  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
121. S. V. Astashkin, “Vector-valued sums of independent functions in rearrangement invariant spaces”, Siberian Math. J., 51:4 (2010), 584–594  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
122. S. V. Astashkin, F. A. Sukochev, “Best constants in Rosenthal–type inequalities and the Kruglov operator”, Ann. Probab., 38:5 (2010), 1986–2008  crossref  mathscinet  elib 11
123. S. V. Astashkin, L. Maligranda, “Rademacher functions in Cesaro type spaces”, Stud. Math., 198:3 (2010), 235–247  crossref  elib 10
124. S. V. Astashkin, K. E. Tikhomirov, “On stability of K-monotonicity of Banach couples”, Rev. Mat. Compl., 23:1 (2010), 113–137  crossref 1
125. S. V. Astashkin, “Rademacher functions in symmetric spaces”, Journal of Mathematical Sciences, 169:6 (2010), 725–886  mathnet  crossref  mathscinet  zmath  elib  scopus

   2009
126. S. V. Astashkin, D. V. Zanin, E. M. Semenov, F. A. Sukochev, “Kruglov Operator and Operators Defined by Random Permutations”, Funct. Anal. Appl., 43:2 (2009), 83–95  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
127. S. V. Astashkin, K. V. Lykov, “Strong extrapolation spaces and interpolation”, Siberian Math. J., 50:2 (2009), 199–213  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
128. S. V. Astashkin, L. Maligranda, “Structure of Cesaro function spaces”, Indag. Mathem., N.S., 20:3 (2009), 329–379  crossref  mathscinet 35
129. S. V. Astashkin, G. P. Curbera, “Rearrangement invariance of Rademacher multiplicator spaces”, J. Funct. Anal., 256 (2009), 4071– 4094  crossref  mathscinet  elib 4
130. S. V. Astashkin, E. M. Semenov, F. L. Hernandez, “Strictly singular inclusions of rearrangement invariant spaces and Rademacher spaces”, Stud. Math., 193:3 (2009), 269–283  crossref  mathscinet 13
131. S. V. Astashkin, E. M. Semenov, F. A. Sukochev, “Banach-Saks type properties in rearrangement–invariant spaces with Kruglov property”, Houston Math. J., 35:3 (2009), 959–973  mathscinet

   2008
132. S. V. Astashkin, “A Generalized Khintchine Inequality in Rearrangement Invariant Spaces”, Funct. Anal. Appl., 42:2 (2008), 144–147  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
133. S. V. Astashkin, “Lieb–Thirring Inequality for $L_p$ Norms”, Math. Notes, 83:2 (2008), 145–151  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
134. S. V. Astashkin, “Independent functions in rearrangement invariant spaces and the Kruglov property”, Sb. Math., 199:7 (2008), 945–963  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
135. S. V. Astashkin, N. Kalton, F. A. Sukochev, “Cesaro mean convergence of martingale differences in rearrangement invariant spaces”, Positivity, 12 (2008), 387–406  crossref  mathscinet  elib 19
136. S. V. Astashkin, L. Maligranda, “Cesaro function spaces fail the fixed point property”, Proc. Amer. Math. Soc., 136:12 (2008), 4289–4294  crossref  mathscinet  elib 18
137. S. V. Astashkin, L. Maligranda, “Ultrasymmetric Orlicz spaces”, J. Math. Anal. Appl., 347 (2008), 273–285  crossref  mathscinet  elib 4
138. S. V. Astashkin, G. P. Curbera, “Rademacher multiplicator spaces equal to $L^\infty$”, Proc. Amer. Math. Soc., 136 (2008), 3493–3501  crossref  mathscinet  elib 6
139. S. V. Astashkin, P. Sunehag, “Real method of interpolation on subcouples of codimension one”, Stud. Math., 186:2 (2008), 151–168  crossref  mathscinet 5
140. S. V. Astashkin, F. A. Sukochev, “Sequences of independent identically distributed functions in rearrangement invariant spaces”, Function spaces VIII (Bȩdlewo, Poland, July 3-7, 2006), 79, eds. H. Hudzik, J. Musielak, M. Nowak, L. Skrzypczak, Banach Center Publ., Warszawa, 2008, 27–37 (Published online)
141. S. V. Astashkin, “Orbitalnoe opisanie kompleksnogo metoda interpolyatsii”, Trudy IV mezhd. konfer. po kompleksnomu analizu, Petrozavodskii gosuniversitet, Petrozavodsk, 2008, 5–7

   2007
142. S. V. Astashkin, “On the Normability of Marcinkiewicz Classes”, Math. Notes, 81:4 (2007), 429–434  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2008
143. S. V. Astashkin, F. A. Sukochev, “Series of independent mean zero random variables in rearrangement invariant spaces with the Kruglov property”, J. Math. Sci. (N. Y.), 148:6 (2008), 795–809  mathnet  crossref  mathscinet  elib  elib  scopus

   2007
144. S. V. Astashkin, F. A. Sukochev, “Banach-Saks property in Marcinkiewicz spaces”, J. Math. Anal. Appl., 336:2 (2007), 1231–1258  crossref  mathscinet  elib 14
145. S. V. Astashkin, “Interpolyatsiya podprostranstv korazmernosti odin”, Vestnik Samarskogo un-ta. Estestvennonauchnaya seriya, 2007, no. 9/1(59), 75–84

   2006
146. S. V. Astashkin, P. Sunehag, “The Real Interpolation Method on Couples of Intersections”, Funct. Anal. Appl., 40:3 (2006), 218–221  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
147. S. V. Astashkin, F. A. Sukochev, “Sums of independent functions in symmetric spaces with the Kruglov property”, Math. Notes, 80:4 (2006), 593–598  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
148. S. V. Astashkin, K. V. Lykov, “Extrapolatory description for the Lorentz and Marcinkiewicz spaces “close” to $L_\infty$”, Siberian Math. J., 47:5 (2006), 797–812  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
149. S. V. Astashkin, “Interpolation of intersections by the real method”, St. Petersburg Math. J., 17:2 (2006), 239–265  mathnet  crossref  mathscinet  zmath  elib  elib  scopus

   2005
150. S. V. Astashkin, “Interpolation of Intersections Generated by a Linear Functional”, Funct. Anal. Appl., 39:2 (2005), 131–134  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
151. S. V. Astashkin, “Extrapolation functors on a family of scales generated by the real interpolation method”, Siberian Math. J., 46:2 (2005), 205–225  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
152. S. V. Astashkin, G. P. Curbera, “Symmetric kernel of Rademacher multiplicator spaces”, J. Funct. Anal., 226 (2005), 173–192  crossref  mathscinet  elib 9
153. S. V. Astashkin, E. M. Semenov, F. A. Sukochev, “The Banach-Saks $p$-property”, Math. Annalen, 332 (2005), 879–900  crossref  mathscinet  elib 9
154. S. V. Astashkin, F. A. Sukochev, “Series of independent random variables in r.i.s.: an operator approach”, Israel J. of Math., 145 (2005), 125–156  crossref  mathscinet 39
155. S. V. Astashkin, K. V. Lykov, “Extrapolation description of some symmetric spaces”, Proc. Lobachevskii Math. Center, 30 (2005), 12-13

   2004
156. S. V. Astashkin, F. A. Sukochev, “Comparison of Sums of Independent and Disjoint Functions in Symmetric Spaces”, Math. Notes, 76:4 (2004), 449–454  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
157. S. V. Astashkin, “On the Multiplier Space Generated by the Rademacher System”, Math. Notes, 75:2 (2004), 158–165  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
158. S. V. Astashkin, L. Maligranda, “Interpolation between $L_1$ and $L_p$, $p\in (0,\infty)$”, Proc. Amer. Math. Soc., 132:10 (2004), 2929–2938.  crossref  mathscinet 11

   2003
159. S. V. Astashkin, “Some New Extrapolation Estimates for the Scale of $L_p$-Spaces”, Funct. Anal. Appl., 37:3 (2003), 221–224  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
160. S. V. Astashkin, L. Maligranda, “On Interpolation in $L_p$ Spaces”, Math. Notes, 74:5 (2003), 734–739  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
161. S. V. Astashkin, “Extrapolation properties of the scale of $L_p$-spaces”, Sb. Math., 194:6 (2003), 813–832  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
162. S. V. Astashkin, L. Maligranda, E. M. Semenov, “Multiplicator space and complemented subspaces of rearrangement invariant space”, J. Funct. Anal., 202 (2003), 247–276  crossref  mathscinet 15
163. S. V. Astashkin, “Images of operators in rearrangement invariant spaces and interpolation”, Lecture Notes in Pure and Applied Math., Proceedings of Sixth Intern. Conf. on Function Spaces (Wrocław, Poland, 2001), 213, Marcel Decker Inc., 2003, 49–64  mathscinet

   2002
164. S. V. Astashkin, “On the Exact $\mathcal{K}$-Monotonicity of Banach Couples”, Funct. Anal. Appl., 36:3 (2002), 217–219  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
165. S. V. Astashkin, “Exact $\mathscr K$-monotonicity of one class of Banach pairs”, Siberian Math. J., 43:1 (2002), 5–21  mathnet  crossref  mathscinet  zmath  isi  scopus
166. S. V. Astashkin, E. M. Semenov, “On complementability of subspaces generated by contractions and shifts of functions”, Doklady Math., 387:5 (2002), 583–585  mathnet
167. S. V. Astashkin, R. F. Uzbekov, “${\cal K}$-zamknutye podpary i otnositelnye popolneniya”, Vestnik Samarskogo un-ta. Estestvennonauchnaya seriya, 26:4 (2002), 5–12

   2001
168. S. V. Astashkin, “About interpolation of subspaces of rearrangement invariant spaces generated by the Rademacher system”, Intern. J. Math. Math. Sci., 25:7 (2001), 451–465  crossref 13
169. S. V. Astashkin, S. M. Nikol'skii, S. Ya. Novikov, “Evgenii Mikhailovich Semenov (on his 60th birthday)”, Russian Math. Surveys, 56:6 (2001), 1193–1198  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi

   2000
170. S. V. Astashkin, “Systems of random variables equivalent in distribution to the Rademacher system and $\mathscr K$-closed representability of Banach couples”, Sb. Math., 191:6 (2000), 779–807  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
171. S. V. Astashkin, “Fourier–Rademacher coefficients of functions in rearrangement-invariant spaces”, Siberian Math. J., 41:4 (2000), 601–610  mathnet  crossref  mathscinet  zmath  isi  scopus
172. S. V. Astashkin, “Rademacher chaos in symmetric spaces, 2”, East J. Approx., 6:1 (2000), 71–86  mathscinet
173. S. V. Astashkin, E. M. Semenov, “Fourier-Rademacher coefficients”, Doklady Math., 375:1 (2000), 7–9  mathnet  mathscinet  mathscinet
174. S. V. Astashkin, V. A. Kostin, S.M.Nikolskii, I. Ya. Novikov, S. Ya. Novikov, Yu. G. Reshetnyak, V. A. Rodin, B. N. Sadovskii, V. V. Strygin, “Evgenii Mikhailovich Semenov (k shestidesyatiletiyu so dnya rozhdeniya)”, IZVESTIYa RAEN, seriya MMMIU, 4:3 (2000), 7-26
175. S. V. Astashkin, Yu. V. Solodyannikov, Svertochnye empiricheskie protsessy i svyazannye s nimi statisticheskie kriterii, “Samarskii universitet”, Samara, 2000

   1999
176. S. V. Astashkin, “Multiple Rademacher Series in Rearrangement Invariant Spaces”, Funct. Anal. Appl., 33:2 (1999), 141–143  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
177. S. V. Astashkin, “On the selection of subsystems equivalent in distribution to the Rademacher system”, Math. Notes, 66:3 (1999), 384–388  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
178. S. V. Astashkin, “Identification of subsystems “majorized” by the Rademacher system”, Math. Notes, 65:4 (1999), 407–417  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
179. S. V. Astashkin, “On disjunctive strict singularity of embeddings of symmetric spaces”, Math. Notes, 65:1 (1999), 3–12  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

   1998
180. S. V. Astashkin, “On Series with Respect to the Rademacher System in Rearrangement Invariant Spaces “Close” to $L_\infty$”, Funct. Anal. Appl., 32:3 (1998), 192–194  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
181. S. V. Astashkin, “Rademacher chaos in symmetric spaces”, East J. Approx., 4:3 (1998), 311–336  mathscinet
182. S. V. Astashkin, “${\cal K}$-monotonnye vesovye pary, porozhdennye prostranstvom, ne invariantnym otnositelno sdviga”, Trudy 2-go Mezhdun. semin. "Diff. ur-iya i ikh prilozh.", Samarskii gosuniversitet, Samara, 1998, 19–25

   1997
183. S. V. Astashkin, “Interpolation of positive polylinear operators in Calderón–Lozanovskii spaces”, Siberian Math. J., 38:6 (1997), 1047–1053  mathnet  crossref  mathscinet  zmath  isi  scopus
184. S. V. Astashkin, “Tensor product in symmetric function spaces”, Collectenea Math., 48:4–6 (1997), 375–391 (Proceedings of Fourth International Conference “Function Spaces”, Zielona G\{o}ra, 1995)
185. S. V. Astashkin, “Ob interpolyatsii podprostranstv simmetrichnykh prostranstv, porozhdennykh sistemoi Rademakhera”, IZVESTIYa RAEN, ceriya MMMIU, 1:1 (1997), 18–35  mathscinet
186. S. V. Astashkin, “Operatory slabogo tipa i ustoichivost veschestvennogo metoda interpolyatsii v simmetrichnykh prostranstvakh”, IZVESTIYa RAEN, seriya MMMIU, 1:4 (1997), 3–25

   1996
187. S. V. Astashkin, “On the Multiplier of a Rearrangement Invariant Space with Respect to the Tensor Product”, Funct. Anal. Appl., 30:4 (1996), 267–269  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
188. S. V. Astashkin, Yu. E. Kim, “Interpolation of bilinear operators in Marcinkiewicz spaces”, Math. Notes, 60:4 (1996), 363–371  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

   1995
189. S. V. Astashkin, “Ob orbitalnom opisanii kompleksnogo metoda interpolyatsii”, “Mera i integral”, Samarskii gosuniversitet, Samara, 1995, 28–34

   1994
190. S. V. Astashkin, “Interpolation of operators in quasinormed groups of measurable functions”, Siberian Math. J., 35:6 (1994), 1075–1082  mathnet  crossref  mathscinet  zmath  isi  scopus

   1993
191. S. V. Astashkin, “On cones of step functions in rearrangement invariant spaces”, Siberian Math. J., 34:4 (1993), 597–605  mathnet  crossref  mathscinet  zmath  isi  scopus

   1992
192. S. V. Astashkin, “On interpolation of bilinear operators with a real method”, Math. Notes, 52:1 (1992), 641–648  mathnet  crossref  mathscinet  zmath  isi  scopus

   1991
193. S. V. Astashkin, V. I. Ovchinnikov, “Functorial approach to interpolation of operators of weak type”, Siberian Math. J., 32:3 (1991), 360–370  mathnet  crossref  mathscinet  zmath  isi  scopus

   1988
194. S. V. Astashkin, “O simmetrichnom prostranstve s trivialnymi indeksami Boida”, “Mera i integral”, Kuibyshevskii gosuniversitet, Kuibyshev, 1988, 23–26  mathscinet

   1986
195. S. V. Astashkin, M. Sh. Braverman, “O podprostranstve simmetrichnogo prostranstva, porozhdennom sistemoi Rademakhera s vektornymi koeffitsientami”, “Operatornye ur-iya v funkts. pr-vakh”, Voronezhskii gosuniversitet, Voronezh, 1986, 3–10  mathscinet

   1985
196. S. V. Astashkin, “Stable interpolation functors”, Funct. Anal. Appl., 19:2 (1985), 133–134  mathnet  crossref  mathscinet  zmath  isi  scopus
197. S. V. Astashkin, “One property of functors of the real interpolation method”, Math. Notes, 38:3 (1985), 725–732  mathnet  crossref  mathscinet  zmath  isi  scopus

   1984
198. S. V. Astashkin, “Description of the interpolation spaces between $(l_1(\omega^0), l_1(\omega^1))$ and $(l_\infty(\omega^0), l_\infty(\omega^1))$”, Math. Notes, 35:4 (1984), 261–265  mathnet  crossref  mathscinet  zmath  isi  scopus
199. S. V. Astashkin, “Ob interpolyatsionnykh prostranstvakh otnositelno $l_1(w^0)$ i $l_1(w^1)$”, “Mera i integral”, Kuibyshevskii gosuniversitet, Kuibyshev, 1984, 25–34

   1983
200. S. V. Astashkin, “Ob ustoichivosti veschestvennogo metoda interpolyatsii”, DAN Uzbekskoi SSR, 4 (1983), 10–11

   1982
201. S. V. Astashkin, “O bilineinom multiplikativnom funktsionale”, "Issl. po teor. funkts. mnog. vesch. perem.", Yaroslavskii gosuniversitet, Yaroslavl, 1982, 3–15

Presentations in Math-Net.Ru
1. Система Радемахера и оценки для разброса гиперграфов
S. V. Astashkin
International conference “Theory of Functions, Operator Theory and Quantum Information Theory”
June 10, 2024 10:30   
2. Случайная безусловная сходимость, хаос Радемахера и системы множеств
S. V. Astashkin
XXII International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", dedicated to the 300th anniversary of the Russian Academy of Sciences
January 31, 2024 10:00   
3. Rademacher chaos, combinatorial dimension and discrepancy of set systems
S. V. Astashkin
International Conference “Nonlinear Approximation and Discretization” dedicated to the 70-th anniversary of Professor V.N. Temlyakov
November 2, 2023 10:50   
4. Interpolation properties of $K$-monotone couples of quasi-Banach spaces
S. V. Astashkin
Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov
June 2, 2023 11:00   
5. О дополняемости подпространств, порожденных независимыми функциями.
S. V. Astashkin
Seminar on Theory of Functions of Real Variables
April 28, 2023 18:30
6. Об одном свойстве пространств Орлича, лежащих между $L^1$ и $L^2$
S. V. Astashkin

November 11, 2022 15:00
7. A new comparison method of norms in scales of function spaces
S. Astashkin
Approximation and discretization
September 3, 2021 11:00   

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