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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
\mathnet{http://mi.mathnet.ru/tm3704}
\crossref{https://doi.org/10.1134/S0371968516020047}
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\pages 56--66
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Linking options:
  • https://www.mathnet.ru/eng/tm3704
  • https://doi.org/10.1134/S0371968516020047
  • https://www.mathnet.ru/eng/tm/v293/p62
    • This publication is cited in the following 7 articles:
    1. O. V. Besov, “Embeddings of Spaces of Functions of Positive Smoothness on a Hölder Domain in Lebesgue Spaces”, Math. Notes, 113:1 (2023), 18–26  mathnet  crossref  crossref  mathscinet
    2. O. V. Besov, “Embeddings of spaces of functions of positive smoothness on irregular domains”, Dokl. Math., 99:1 (2019), 31–35  crossref  mathscinet  isi
    3. O. V. Besov, “Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains”, Math. Notes, 106:4 (2019), 501–513  mathnet  crossref  crossref  mathscinet  isi  elib
    4. O. V. Besov, “Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains in Lebesgue Spaces”, Math. Notes, 103:3 (2018), 348–356  mathnet  crossref  crossref  mathscinet  isi  elib
    5. O. V. Besov, “Embeddings of Weighted Spaces of Functions of Positive Smoothness on Irregular Domains in Lebesgue Space”, Math. Notes, 104:6 (2018), 799–809  mathnet  crossref  crossref  mathscinet  isi  elib
    6. O. V. Besov, “Another Note on the Embedding of the Sobolev Space for the Limiting Exponent”, Math. Notes, 101:4 (2017), 608–618  mathnet  crossref  crossref  mathscinet  isi  elib
    7. Besov O.V., “Embedding of Sobolev spaces with limit exponent revisited”, Dokl. Math., 94:3 (2016), 684–687  mathnet  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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