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Berezhnoi, Evgenii Ivanovich
Statistics Math-Net.Ru
Total publications: 51
Scientific articles: 51
Presentations: 6

Number of views:
This page:4851
Abstract pages:15347
Full texts:5493
References:1809
Professor
Doctor of physico-mathematical sciences (1995)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 24.06.1954

https://www.mathnet.ru/eng/person8814
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/202475

Publications in Math-Net.Ru Citations
2023
1. E. I. Berezhnoi, “Calderón–Lozanovskiĭ construction for a couple of global Morrey spaces”, Eurasian Math. J., 14:1 (2023),  25–38  mathnet  mathscinet 1
2. E. I. Berezhnoi, “Multipliers for the Calderón construction”, Funktsional. Anal. i Prilozhen., 57:2 (2023),  3–17  mathnet  mathscinet; Funct. Anal. Appl., 57:2 (2023), 87–98  scopus
3. E. I. Berezhnoi, A. N. Karapetyants, “A New Approach to Grand and Small Norms in Discrete Lebesgue Spaces”, Math. Notes, 114:6 (2023), 1118–1133  mathnet  scopus
2022
4. E. I. Berezhnoi, “Two-sided estimates of the $K$-functional for spaces of functions of generalized bounded variation”, Funktsional. Anal. i Prilozhen., 56:1 (2022),  26–36  mathnet; Funct. Anal. Appl., 56:1 (2022), 19–26  scopus 1
2021
5. E. I. Berezhnoi, “On interpolation and $K$-monotonicity for discrete local Morrey spaces”, Algebra i Analiz, 33:3 (2021),  1–30  mathnet; St. Petersburg Math. J., 33:3 (2022), 427–447
6. E. I. Berezhnoi, “The Calderón construction for a couple of global Morrey spaces”, Izv. RAN. Ser. Mat., 85:5 (2021),  5–24  mathnet  elib; Izv. Math., 85:5 (2021), 833–851  isi  scopus 1
7. E. I. Berezhnoi, “Sharp Extrapolation Theorems for Local Morrey Spaces”, Trudy Mat. Inst. Steklova, 312 (2021),  82–97  mathnet  elib; Proc. Steklov Inst. Math., 312 (2021), 76–90  isi  scopus 3
2020
8. E. I. Berezhnoi, “Calculation of the Calderón–Lozanovskii construction for a couple of local Morrey spaces”, Eurasian Math. J., 11:3 (2020),  21–34  mathnet  isi  scopus 4
9. E. I. Berezhnoi, “Extreme spaces for extrapolation”, Funktsional. Anal. i Prilozhen., 54:1 (2020),  3–10  mathnet  mathscinet  elib; Funct. Anal. Appl., 54:1 (2020), 1–6  isi  scopus 4
2018
10. E. I. Berezhnoi, “Exact Calculation of Sums of Cones in Lorentz Spaces”, Funktsional. Anal. i Prilozhen., 52:2 (2018),  66–71  mathnet  mathscinet  elib; Funct. Anal. Appl., 52:2 (2018), 134–138  isi  scopus 5
11. E. I. Berezhnoi, “Exact Calculation of Sums of the Lorentz Spaces $\Lambda^{\alpha}$ and Applications”, Mat. Zametki, 104:5 (2018),  649–658  mathnet  mathscinet  elib; Math. Notes, 104:5 (2018), 628–635  isi  scopus 5
2017
12. E. I. Berezhnoi, L. Maligranda, “On representation of cones of monotone functions in weighted Lebesgue spaces and extrapolation of operators on these cones”, Algebra i Analiz, 29:4 (2017),  1–44  mathnet  elib; St. Petersburg Math. J., 29:4 (2018), 545–574  isi  scopus
13. E. I. Berezhnoi, “A discrete version of local Morrey spaces”, Izv. RAN. Ser. Mat., 81:1 (2017),  3–30  mathnet  mathscinet  elib; Izv. Math., 81:1 (2017), 1–28  isi  scopus 14
2015
14. E. I. Berezhnoi, “Can Yano's extrapolation theorem be strengthened?”, Funktsional. Anal. i Prilozhen., 49:2 (2015),  82–85  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 49:2 (2015), 145–147  isi  elib  scopus 6
15. E. I. Berezhnoĭ, “On compactness of maximal operators”, Sibirsk. Mat. Zh., 56:4 (2015),  752–761  mathnet  elib; Siberian Math. J., 56:4 (2015), 593–600  isi  elib  scopus
2014
16. E. I. Berezhnoi, “The Resonance Theorem for Subspaces”, Mat. Zametki, 95:6 (2014),  803–811  mathnet  mathscinet  elib; Math. Notes, 95:6 (2014), 753–759  isi  scopus
17. E. I. Berezhnoi, “Correction theorem for Sobolev spaces constructed by a symmetric space”, Trudy Mat. Inst. Steklova, 284 (2014),  38–55  mathnet  elib; Proc. Steklov Inst. Math., 284 (2014), 32–49  isi  elib  scopus
2013
18. E. I. Berezhnoi, “Schur test for the Hardy operator”, Eurasian Math. J., 4:4 (2013),  17–29  mathnet 1
19. E. I. Berezhnoi, “A Simple Proof of an Extrapolation Theorem for Marcinkiewicz Spaces”, Mat. Zametki, 93:6 (2013),  939–943  mathnet  mathscinet  zmath  elib; Math. Notes, 93:6 (2013), 923–927  isi  elib  scopus 1
20. E. I. Berezhnoĭ, “A sharp extrapolation theorem for Lorentz spaces”, Sibirsk. Mat. Zh., 54:3 (2013),  520–535  mathnet  mathscinet; Siberian Math. J., 54:3 (2013), 406–418  isi  scopus 7
2009
21. E. I. Berezhnoi, D. S. Gladkikh, “Estimates of the Cordoba–Fernandez operator in Marcinkiewicz spaces”, Model. Anal. Inform. Sist., 16:4 (2009),  34–45  mathnet
2007
22. E. I. Berezhnoi, “On Subspaces of $C[0,1]$ Consisting of Nonsmooth Functions”, Mat. Zametki, 81:4 (2007),  490–495  mathnet  mathscinet  zmath  elib; Math. Notes, 81:4 (2007), 435–439  isi  scopus 2
2003
23. E. I. Berezhnoi, “A Subspace of Hölder Space Consisting Only of Nonsmoothest Functions”, Mat. Zametki, 74:3 (2003),  329–339  mathnet  mathscinet  zmath; Math. Notes, 74:3 (2003), 316–325  isi  scopus 5
24. E. I. Berezhnoi, “The Subspace of $C[0,1]$ Consisting of Functions Having Finite One-Sided Derivatives Nowhere”, Mat. Zametki, 73:3 (2003),  348–354  mathnet  mathscinet  zmath; Math. Notes, 73:3 (2003), 321–327  isi  scopus 14
2002
25. E. I. Berezhnoi, A. V. Novikov, “The halo problem in the theory of differentiation of integrals”, Izv. RAN. Ser. Mat., 66:4 (2002),  3–26  mathnet  mathscinet  zmath; Izv. Math., 66:4 (2002), 659–681  scopus 3
2001
26. E. I. Berezhnoi, “The Correction Theorem for Anisotropic Spaces”, Mat. Zametki, 70:3 (2001),  323–333  mathnet  mathscinet  zmath  elib; Math. Notes, 70:3 (2001), 291–299  isi
27. E. I. Berezhnoi, A. A. Perfil'ev, “Distinguishing Between Symmetric Spaces and $L^\infty$ by a Differential Basis”, Mat. Zametki, 69:4 (2001),  515–523  mathnet  mathscinet  zmath; Math. Notes, 69:4 (2001), 467–474  isi 2
28. E. I. Berezhnoi, “Spaces of functions of generalized bounded variation. II. Questions of uniform convergence of Fourier series”, Sibirsk. Mat. Zh., 42:3 (2001),  515–532  mathnet  mathscinet  zmath; Siberian Math. J., 42:3 (2001), 435–449  isi 5
2000
29. E. I. Berezhnoi, A. A. Perfil'ev, “A Sharp Extrapolation Theorem for Operators”, Funktsional. Anal. i Prilozhen., 34:3 (2000),  66–68  mathnet  mathscinet  zmath; Funct. Anal. Appl., 34:3 (2000), 211–213  isi 13
1999
30. E. I. Berezhnoi, “Spaces of functions of generalized bounded variation. I. Embedding theorems. Estimates for Lebesgue constants”, Sibirsk. Mat. Zh., 40:5 (1999),  997–1011  mathnet  mathscinet  zmath; Siberian Math. J., 40:5 (1999), 837–850  isi 8
1998
31. E. I. Berezhnoi, V. I. Burenkov, “Improved interpolation theorems for a class of linear operators”, Izv. RAN. Ser. Mat., 62:4 (1998),  3–24  mathnet  mathscinet  zmath; Izv. Math., 62:4 (1998), 651–671  isi  scopus
32. E. I. Berezhnoi, “A correction theorem for functions with integral smoothness”, Zap. Nauchn. Sem. POMI, 255 (1998),  17–35  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 107:4 (2001), 3972–3986
1996
33. E. I. Berezhnoi, “Estimates for a uniform modulus of continuity of functions from symmetric spaces”, Izv. RAN. Ser. Mat., 60:2 (1996),  3–20  mathnet  mathscinet  zmath; Izv. Math., 60:2 (1996), 233–250  scopus 5
34. E. I. Berezhnoi, “The inverse interpolation problem for operators”, Mat. Zametki, 59:3 (1996),  323–333  mathnet  mathscinet  zmath; Math. Notes, 59:3 (1996), 227–233  isi 2
1995
35. E. I. Berezhnoi, “Theorems on the representation of spaces, and Schur's lemma”, Dokl. Akad. Nauk, 344:6 (1995),  727–729  mathnet  mathscinet  zmath 1
36. E. I. Berezhnoi, “Differential properties of bases and halo problem for rearrangement-invariant spaces”, Sibirsk. Mat. Zh., 36:6 (1995),  1234–1250  mathnet  mathscinet  zmath; Siberian Math. J., 36:6 (1995), 1065–1079  isi 1
1994
37. E. I. Berezhnoi, “The exact correction theorem for spaces of functions of generalized bounded variation”, Mat. Zametki, 56:5 (1994),  10–21  mathnet  mathscinet  zmath; Math. Notes, 56:5 (1994), 1105–1112  isi 2
1993
38. E. I. Berezhnoi, “Double-weighted estimates of integration operator for classes $\Phi(L)$”, Mat. Zametki, 53:4 (1993),  142–145  mathnet  mathscinet  zmath; Math. Notes, 53:4 (1993), 449–451  isi
39. E. I. Berezhnoi, “Sharp estimates for operators on cones in ideal spaces”, Trudy Mat. Inst. Steklov., 204 (1993),  3–34  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 204 (1994), 1–25 8
1992
40. E. I. Berezhnoi, “Hardy-type inequalities on cones in ideal spaces”, Dokl. Akad. Nauk, 326:2 (1992),  215–218  mathnet  mathscinet  zmath; Dokl. Math., 46:2 (1993), 236–239
41. E. I. Berezhnoi, P. P. Zabreiko, “Interpolation of the continuity property for partially additive operators”, Sibirsk. Mat. Zh., 33:2 (1992),  157–163  mathnet  mathscinet  zmath; Siberian Math. J., 33:2 (1992), 317–323  isi
42. E. I. Berezhnoi, “Two weight estimate for certain integral operators”, Trudy Mat. Inst. Steklov., 201 (1992),  14–25  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 201 (1994), 11–20 2
1991
43. E. I. Berezhnoi, “Weighted inequalities of Hardy type in general ideal spaces”, Dokl. Akad. Nauk SSSR, 317:4 (1991),  782–785  mathnet  mathscinet  zmath; Dokl. Math., 43:2 (1991), 492–495
1990
44. E. I. Berezhnoi, “Differentiation bases and symmetric spaces”, Funktsional. Anal. i Prilozhen., 24:3 (1990),  66–67  mathnet  mathscinet  zmath; Funct. Anal. Appl., 24:3 (1990), 224–226  isi
1989
45. E. I. Berezhnoi, “A correction theorem for a space of functions of generalized bounded variation”, Mat. Zametki, 46:3 (1989),  116–118  mathnet  mathscinet  zmath 1
1985
46. E. I. Berezhnoi, “Metric properties of the space $\varphi(X,Y)$”, Funktsional. Anal. i Prilozhen., 19:4 (1985),  74–75  mathnet  mathscinet  zmath; Funct. Anal. Appl., 19:4 (1985), 311–312  isi
1984
47. E. I. Berezhnoi, “Geometrical properties of the space $\varphi(X,Y)$”, Funktsional. Anal. i Prilozhen., 18:1 (1984),  59–60  mathnet  mathscinet  zmath; Funct. Anal. Appl., 18:1 (1984), 48–50  isi 7
1982
48. E. I. Berezhnoi, “On a theorem of G. Ya. Lozanovskiǐ”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 2,  81–83  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 26:2 (1982), 107–111 5
1980
49. E. I. Berezhnoi, “Approximation spaces and interpolation”, Dokl. Akad. Nauk SSSR, 255:6 (1980),  1289–1291  mathnet  mathscinet  zmath 2
50. E. I. Berezhnoi, “Banach spaces, concave functions, and interpolation of linear operators”, Funktsional. Anal. i Prilozhen., 14:4 (1980),  62–63  mathnet  mathscinet  zmath; Funct. Anal. Appl., 14:4 (1980), 295–297  isi 1

Presentations in Math-Net.Ru
1. Discrete variant of Morrey spaces. New approach
E. I. Berezhnoi
Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov
May 29, 2023 16:00   
2. Morrey spaces: a new approach
E. I. Berezhnoi
International scientific workshop OTHA Fall 2022
December 20, 2022 10:35   
3. The exact theorem of interpolations and extrapolations of linear operators in local Morrey spaces
E. I. Berezhnoi
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
October 30, 2019 16:00   
4. Extrapolation Theorem for Sobolev Spaces
E. I. Berezhnoi
International Conference "Geometric Analysis and Control Theory"
December 10, 2016 15:00   
5. Локальные пространства Морри
E. I. Berezhnoi
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 25, 2015 17:30
6. O теоремах исправимости в соболевских пространствах
E. I. Berezhnoi
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
April 18, 2012 16:00

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