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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 293, Pages 167–192
DOI: https://doi.org/10.1134/S0371968516020126 (Mi tm3712) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Weighted extrapolation in Iwaniec–Sbordone spaces. Applications to integral operators and approximation theory

V. M. Kokilashvili, A. N. Meskhi

A. Razmadze Mathematical Institute, I. Javakhishvili Tbilisi State University, 6, Tamarashvili Str., 0177 Tbilisi, Georgia
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DOI: https://doi.org/10.1134/S0371968516020126
Abstract: We prove extrapolation theorems in weighted Iwaniec–Sbordone spaces and apply them to one-weight inequalities for several integral operators of harmonic analysis. In addition, in weighted grand Lebesgue spaces, we establish Bernstein and Nikol'skii type inequalities and prove direct and inverse theorems on the approximation of functions.
Funding agency Grant number
Shota Rustaveli National Science Foundation D/13-23
31/47
This work was supported by the Shota Rustaveli National Science Foundation, project nos. D/13-23 and 31/47.
Received: September 10, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 293, Pages 161–185
DOI: https://doi.org/10.1134/S008154381604012X
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: V. M. Kokilashvili, A. N. Meskhi, “Weighted extrapolation in Iwaniec–Sbordone spaces. Applications to integral operators and approximation theory”, Function spaces, approximation theory, and related problems of mathematical analysis, Collected papers. In commemoration of the 110th anniversary of Academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 293, MAIK Nauka/Interperiodica, Moscow, 2016, 167–192; Proc. Steklov Inst. Math., 293 (2016), 161–185
Citation in format AMSBIB
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\paper Weighted extrapolation in Iwaniec--Sbordone spaces. Applications to integral operators and approximation theory
\inbook Function spaces, approximation theory, and related problems of mathematical analysis
\bookinfo Collected papers. In commemoration of the 110th anniversary of Academician Sergei Mikhailovich Nikol'skii
\serial Trudy Mat. Inst. Steklova
\yr 2016
\vol 293
\pages 167--192
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 16 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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