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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 4, Pages 149–152 (Mi smj1638)  
This article is cited in 3 scientific papers (total in 3 papers)

On extension of functions of Sobolev spaces

A. S. Romanov
Full-text PDF (432 kB) Citations (3)
Abstract: Given an arbitrary number $q\in(1,2)$ we construct an example of a plain domain that admits an extension of any function belonging to the Sobolev space $W_p^1$ for $p<q$ and does not admit such an extension for $p\ge q$.
Received: 10.09.1992
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 4, Pages 723–726
DOI: https://doi.org/10.1007/BF00975175
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: A. S. Romanov, “On extension of functions of Sobolev spaces”, Sibirsk. Mat. Zh., 34:4 (1993), 149–152; Siberian Math. J., 34:4 (1993), 723–726
Citation in format AMSBIB
\Bibitem{Rom93}
\by A.~S.~Romanov
\paper On extension of functions of Sobolev spaces
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 4
\pages 149--152
\mathnet{http://mi.mathnet.ru/smj1638}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1248799}
\zmath{https://zbmath.org/?q=an:0992.46027}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 4
\pages 723--726
\crossref{https://doi.org/10.1007/BF00975175}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MA84100018}
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  • https://www.mathnet.ru/eng/smj/v34/i4/p149
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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