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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 293, Pages 113–132
DOI: https://doi.org/10.1134/S0371968516020084 (Mi tm3708) 		 
This article is cited in 17 scientific papers (total in 17 papers)

An analog of Young's inequality for convolutions of functions for general Morrey-type spaces

V. I. Burenkova, T. V. Tararykovab

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b School of Mathematics, Cardiff University, Senghennydd Road, CF24 4AG Cardiff, Wales, UK
Full-text PDF (288 kB) Citations (17)
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DOI: https://doi.org/10.1134/S0371968516020084
Abstract: An analog of the classical Young's inequality for convolutions of functions is proved in the case of general global Morrey-type spaces. The form of this analog is different from Young's inequality for convolutions in the case of Lebesgue spaces. A separate analysis is performed for the case of periodic functions.
Funding agency Grant number
Russian Science Foundation 14-11-00443
The work of V. I. Burenkov (Sections 1–4) is supported by the Russian Science Foundation under grant 14-11-00443 and performed in Steklov Mathematical Institute of Russian Academy of Sciences. Section 5 is written by T. V. Tararykova.
Received: January 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 293, Pages 107–126
DOI: https://doi.org/10.1134/S0081543816040088
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: V. I. Burenkov, T. V. Tararykova, “An analog of Young's inequality for convolutions of functions for general Morrey-type spaces”, 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, 113–132; Proc. Steklov Inst. Math., 293 (2016), 107–126
Citation in format AMSBIB
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\paper An analog of Young's inequality for convolutions of functions for general Morrey-type spaces
\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
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\vol 293
\pages 113--132
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 17 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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