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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 293, Pages 62–72
DOI: https://doi.org/10.1134/S0371968516020047 (Mi tm3704) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Spaces of functions of positive smoothness on irregular domains

O. V. Besov

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (194 kB) Citations (7)
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DOI: https://doi.org/10.1134/S0371968516020047
Abstract: The paper is devoted to constructing and studying spaces of functions of positive smoothness on irregular domains of the $n$-dimensional Euclidean space. We prove embedding theorems that connect the spaces introduced with the Sobolev and Lebesgue spaces. The formulations of the theorems depend on geometric parameters of the domain of definition of functions.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: September 17, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 293, Pages 56–66
DOI: https://doi.org/10.1134/S0081543816040040
Bibliographic databases:
Document Type: Article
UDC: 517.518.23
Language: Russian
Citation: O. V. Besov, “Spaces of functions of positive smoothness on irregular domains”, 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, 62–72; Proc. Steklov Inst. Math., 293 (2016), 56–66
Citation in format AMSBIB
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\paper Spaces of functions of positive smoothness on irregular domains
\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 62--72
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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