interpolation of operators, extrapolation of operators, interpolation spaces, rearrangement invariant spaces
UDC:
517.982.27, 517.982, 517.983, 517.988
Subject:
Function spaces, interpolation spaces, extrapolation theory. Applications of extrapolation theory.
Main publications:
S. V. Astashkin, K. V. Lykov, M. Milman, “Limiting interpolation spaces via extrapolation”, Journal of Approximation Theory, 240 (2019), 16-70 https://www.sciencedirect.com/science/article/pii/S0021904518301084, arXiv: arXiv:1803.10659v2
K. V. Lykov, “On Extrapolation Properties of Schatten–von Neumann Classes”, Funct. Anal. Appl., 52:1 (2018), 57–61
S. V. Astashkin, K. V. Lykov, “Jawerth–Milman extrapolation theory: Some recent developments with applications”, Functional Analysis, Harmonic Analysis, and Image Processing: A Collection of Papers in Honor of Björn Jawerth, Contemporary Mathematics, 693, eds. Michael Cwikel, Mario Milman, American Mathematical Society, Providence, Rhode Island, 2017, 7–53 http://www.ams.org/books/conm/693/conm693-endmatter.pdf , https://books.google.ru/books?id=2DouDwAAQBAJ&pg=PA7&lpg=PA7&dq=Jawerth
K. V. Lykov, “Any random variable with finite moments is a sum of two variables with determinate moment problem”, Theory Probab. Appl., 62:4 (2018), 632–639
S. V. Astashkin, K. V. Lykov, “Extrapolation description of rearrangement invariant spaces and related problems”, Banach and function spaces III (ISBFS 2009), Proceedings of the Third International Symposium on Banach and Function Spaces (Kyushu Institute of Technology, Kitakyushu, Japan, 15-17 September 2009), eds. Mikio Kato, Lech Maligranda, Tomonari Suzuki, Yokohama Publisher, Yokohama, 2011, 1–52http://www.diva-portal.se/smash/get/diva2:994748/FULLTEXT01.pdf
S. V. Astashkin, K. V. Lykov, “On unconditionality of fractional Rademacher chaos in symmetric spaces”, Izv. Math., 88:1 (2024), 1–17
2.
S. V. Astashkin, K. V. Lykov, M. Milman, “Majorization revisited: Comparison of norms in interpolation scales”, Mathematische Annalen, 388:4 (2024), 3373–3426
S. V. Astashkin, K. V. Lykov, Uspekhi Mat. Nauk (to appear)
2021
4.
S. V. Astashkin, K. V. Lykov, “Extrapolation description of limiting interpolation J-spaces”, Pure and Applied Functional Analysis, 6:3, Special issue on 30 years of Extrapolation (2021), 511–529 http://yokohamapublishers.jp/online2/oppafa/vol6/p511.html
5.
K. V. Lykov, F. A. Sukochev, K. S. Tulenov, A. S. Usachev, “On the Optimal pairs of symmetric spaces for the Calderón type operators”, Pure and Applied Functional Analysis, 6:3, Special issue on 30 years of Extrapolation (2021), 631–649 http://yokohamapublishers.jp/online2/oppafa/vol6/p631.html
2019
6.
S. V. Astashkin, K. V. Lykov, M. Milman, “Limiting interpolation spaces via extrapolation”, Journal of Approximation Theory, 240 (2019), 16-70 https://www.sciencedirect.com/science/article/pii/S0021904518301084, arXiv: arXiv:1803.10659v2
K. V. Lykov, “On Extrapolation Properties of Schatten–von Neumann Classes”, Funct. Anal. Appl., 52:1 (2018), 57–61
2017
8.
S. V. Astashkin, K. V. Lykov, “Jawerth–Milman extrapolation theory: Some recent developments with applications”, Functional Analysis, Harmonic Analysis, and Image Processing: A Collection of Papers in Honor of Björn Jawerth, Contemporary Mathematics, 693, eds. Michael Cwikel, Mario Milman, American Mathematical Society, Providence, Rhode Island, 2017, 7–53 http://www.ams.org/books/conm/693/conm693-endmatter.pdf , https://books.google.ru/books?id=2DouDwAAQBAJ&pg=PA7&lpg=PA7&dq=Jawerth
2018
9.
K. V. Lykov, “Any random variable with finite moments is a sum of two variables with determinate moment problem”, Theory Probab. Appl., 62:4 (2018), 632–639
2017
10.
S. V. Astashkin, K. V. Lykov, “Sparse Rademacher chaos in symmetric spaces”, St. Petersburg Math. J., 28:1 (2017), 1–20
2016
11.
K. V. Lykov, “Extrapolation of operators acting into quasi-Banach spaces”, Sb. Math., 207:1 (2016), 85–112
2012
12.
K. V. Lykov, “New Uniqueness Conditions for the Classical Moment Problem”, Math. Notes, 92:6 (2012), 797–806
13.
K. V. Lykov, “Some Remarks on the Moment Problem and Its Relation to the Theory of Extrapolation of Spaces”, Math. Notes, 91:1 (2012), 69–80
14.
S. V. Astashkin, K. V. Lykov, M. Mastyło, “On extrapolation of rearrangement invariant spaces”, Nonlinear Analysis: Theory, Methods & Applications, 75:5 (2012), 2735–2749
S. V. Astashkin, K. V. Lykov, “Extrapolation description of rearrangement invariant spaces and related problems”, Banach and function spaces III (ISBFS 2009), Proceedings of the Third International Symposium on Banach and Function Spaces (Kyushu Institute of Technology, Kitakyushu, Japan, 15-17 September 2009), eds. Mikio Kato, Lech Maligranda, Tomonari Suzuki, Yokohama Publisher, Yokohama, 2011, 1–52http://www.diva-portal.se/smash/get/diva2:994748/FULLTEXT01.pdf
2009
16.
S. V. Astashkin, K. V. Lykov, “Strong extrapolation spaces and interpolation”, Siberian Math. J., 50:2 (2009), 199–213
2008
17.
K. V. Lykov, T. A. Morozova, R. S. Sukhanov, “Struktura nepreryvnykh funktsii v lineinoi obolochke khaosov Rademakhera”, Vestnik SamGU, 2008, no. 6, 123–138
2006
18.
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
19.
K. V. Lykov, “Ekstrapolyatsiya v shkale $L_p$-prostranstv i skhodimost ortogonalnykh ryadov v prostranstvakh Martsinkevicha”, Vestnik SamGU, 2006, no. 2(42), 28–43
20.
K. V. Lykov, “Kriterii separabelnosti ekstrapolyatsionnogo prostranstva”, Vestnik SamGU, 2006, no. 4(44), 5–12
21.
K. V. Lykov, “O dopolnyaemosti podprostranstv simmetrichnogo prostranstva, porozhdennykh szhatiyami i translyatsiyami”, Vestnik SamGU, 2006, no. 6/1(46), 47–63
2024
Contact us: