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of 10
pro vyhledávání: '"Vasyunin, Vasily I."'
Publikováno v:
J. Funct. Anal. 275 no. 5 (2018), 1280-1319
We strengthen H\"older's inequality. The new family of sharp inequalities we obtain might be thought of as an analog of Pythagorean theorem for the $L^p$ spaces. Our reasonings rely upon Bellman functions of four variables.
Comment: 30 pages
Comment: 30 pages
Externí odkaz:
http://arxiv.org/abs/1708.08846
In the paper "Bellman function for extremal problems in $\mathrm{BMO}$", the authors built the Bellman function for integral functionals on the $\mathrm{BMO}$ space. The present paper provides a development of the subject. We abandon the majority of
Externí odkaz:
http://arxiv.org/abs/1510.01010
Publikováno v:
Studia Mathematica 231:3 (2015), 257--268
We obtain sharp bounds for the monotonic rearrangement operator from "dyadic-type" classes to "continuous". In particular, for the $\mathrm{BMO}$ space and Muckenhoupt classes. The idea is to connect the problem with a simple geometric construction n
Externí odkaz:
http://arxiv.org/abs/1506.00502
Autor:
Ivanisvili, Paata, Osipov, Nikolay N., Stolyarov, Dmitriy M., Vasyunin, Vasily I., Zatitskiy, Pavel B.
Publikováno v:
Comptes Rendus Mathematique 353:12 (2015), 1081--1085
We unify several Bellman function problems into one setting. For that purpose we define a class of functions that have, in a sense, small mean oscillation (this class depends on two convex sets in $\mathbb{R}^2$). We show how the unit ball in the $\m
Externí odkaz:
http://arxiv.org/abs/1412.4749
Autor:
Ivanisvili, Paata, Osipov, Nikolay N., Stolyarov, Dmitriy M., Vasyunin, Vasily I., Zatitskiy, Pavel B.
Publikováno v:
Transactions of the American Mathematical Society, 2016 May 01. 368(5), 3415-3468.
Externí odkaz:
https://www.jstor.org/stable/tranamermathsoci.368.5.3415
Autor:
Ivanisvili, Paata, Osipov, Nikolay N., Stolyarov, Dmitriy M., Vasyunin, Vasily I., Zatitskiy, Pavel B.
Publikováno v:
In Comptes rendus - Mathématique December 2015 353(12):1081-1085
Autor:
Ivanishvili, Paata, Osipov, Nikolay N., Stolyarov, Dmitriy M., Vasyunin, Vasily I., Zatitskiy, Pavel B.
Publikováno v:
In Comptes rendus - Mathématique June 2012 350(11-12):561-564
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