Persons: Lykov Konstantin Vladimirovich

E-mail:
Keywords: 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 $https://adsabs.harvard.edu/cgi-bin/bib_query?{http://adsabs.harvard.edu/cgi-bin/bib_query?2018arXiv180310659A}$
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, 1–52 http://www.diva-portal.se/smash/get/diva2:994748/FULLTEXT01.pdf

Recent publications

Presentations in Math-Net.Ru

Personal pages:

Organisations: