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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2023, Volume 323, Pages 53–64
DOI: https://doi.org/10.4213/tm4350
(Mi tm4350)
 

This article is cited in 1 scientific paper (total in 1 paper)

Integral Representations and Embeddings of Spaces of Functions of Positive Smoothness on a Hölder Domain

O. V. Besov

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
References:
Abstract: We prove embedding theorems for spaces of functions of positive smoothness defined on a Hölder domain of $n$-dimensional Euclidean space.
Keywords: embedding, spaces of functions of positive smoothness, Hölder domain, Sobolev space.
Funding agency Grant number
Russian Science Foundation 19-11-00087
This work was supported by the Russian Science Foundation under grant no. 19-11-00087, https://rscf.ru/en/project/19-11-00087/.
Received: April 18, 2023
Revised: June 22, 2023
Accepted: June 27, 2023
English version:
Proceedings of the Steklov Institute of Mathematics, 2023, Volume 323, Pages 47–58
DOI: https://doi.org/10.1134/S0081543823050036
Bibliographic databases:
Document Type: Article
UDC: 517.518.23
Language: Russian
Citation: O. V. Besov, “Integral Representations and Embeddings of Spaces of Functions of Positive Smoothness on a Hölder Domain”, Theory of Functions of Several Real Variables and Its Applications, Collected papers. Dedicated to Oleg Vladimirovich Besov on the occasion of his 90th birthday, Trudy Mat. Inst. Steklova, 323, Steklov Mathematical Institute of RAS, Moscow, 2023, 53–64; Proc. Steklov Inst. Math., 323 (2023), 47–58
Citation in format AMSBIB
\Bibitem{Bes23}
\by O.~V.~Besov
\paper Integral Representations and Embeddings of Spaces of Functions of Positive Smoothness on a H\"older Domain
\inbook Theory of Functions of Several Real Variables and Its Applications
\bookinfo Collected papers. Dedicated to Oleg Vladimirovich Besov on the occasion of his 90th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2023
\vol 323
\pages 53--64
\publ Steklov Mathematical Institute of RAS
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4350}
\crossref{https://doi.org/10.4213/tm4350}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2023
\vol 323
\pages 47--58
\crossref{https://doi.org/10.1134/S0081543823050036}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85186903178}
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  • https://doi.org/10.4213/tm4350
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  • This publication is cited in the following 1 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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