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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 794–806
DOI: https://doi.org/10.17377/semi.2017.14.067 (Mi semr828) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Real, complex and functional analysis

The composition operators in Sobolev spaces with variable exponent of summability

A. S. Romanovab

a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Novosibirsk State University, Pirogova str., 2, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.067
Abstract: We consider some problems associated with the exchange of a variable in Sobolev spaces with a variable exponent of summability.
Keywords: Sobolev space, embedding theorem, variable exponent of summability.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00801_а
Russian Science Foundation 16-41-02004
Received July 22, 2017, published August 17, 2017
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 46E35
Language: Russian
Citation: A. S. Romanov, “The composition operators in Sobolev spaces with variable exponent of summability”, Sib. Èlektron. Mat. Izv., 14 (2017), 794–806
Citation in format AMSBIB
\Bibitem{Rom17}
\by A.~S.~Romanov
\paper The composition operators in Sobolev spaces with variable exponent of summability
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 794--806
\mathnet{http://mi.mathnet.ru/semr828}
\crossref{https://doi.org/10.17377/semi.2017.14.067}
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