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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 690–699
DOI: https://doi.org/10.33048/semi.2020.17.047 (Mi semr1242) 		 
Real, complex and functional analysis

Sobolev-type functions on nonhomogeneous metric spaces

A. S. Romanovab

a Sobolev Institute of Mathematics, 4, Koptyuga ave., 630090, Novosibirsk, Russia
b Novosibirsk State University, 2, Pirogova str., 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.33048/semi.2020.17.047
Abstract: We consider analogs of classical embedding theorems for function classes of Sobolev type on nonhomogeneous metric measure spaces.
Keywords: metric, measure, embedding theorems.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0007
The work was carried out in the framework of the State Contract of the Sobolev Institute of Mathematics (Project 0314–2019–0007).
Received January 17, 2020, published May 21, 2020
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 46E35
Language: English
Citation: A. S. Romanov, “Sobolev-type functions on nonhomogeneous metric spaces”, Sib. Èlektron. Mat. Izv., 17 (2020), 690–699
Citation in format AMSBIB
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\by A.~S.~Romanov
\paper Sobolev-type functions on~nonhomogeneous metric spaces
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 690--699
\mathnet{http://mi.mathnet.ru/semr1242}
\crossref{https://doi.org/10.33048/semi.2020.17.047}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000537772600001}
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