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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 1447–1455
DOI: https://doi.org/10.17377/semi.2017.14.124 (Mi semr883) 		 
Real, complex and functional analysis

Classes of Sobolev type on quasimetric spaces

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.2017.14.124
Abstract: On quasimetric measure spaces, classes of functions of Sobolev type are defined. In the model cases, analogues of the classical imbedding theorems are proved.
Keywords: quasimetric, Sobolev space, embedding theorem.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00801_а
Received December 7, 2017, published December 14, 2017
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 30L99, 46E35
Language: Russian
Citation: A. S. Romanov, “Classes of Sobolev type on quasimetric spaces”, Sib. Èlektron. Mat. Izv., 14 (2017), 1447–1455
Citation in format AMSBIB
\Bibitem{Rom17}
\by A.~S.~Romanov
\paper Classes of Sobolev type on quasimetric spaces
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 1447--1455
\mathnet{http://mi.mathnet.ru/semr883}
\crossref{https://doi.org/10.17377/semi.2017.14.124}
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