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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 4, Pages 864–878 (Mi smj1336)  

This article is cited in 9 scientific papers (total in 9 papers)

On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis

D. V. Prokhorov, V. D. Stepanov

Computer Centre Far-Eastern Branch of RAS
Full-text PDF (258 kB) Citations (9)
Abstract: We consider some Sobolev-type spaces and obtain a necessary and sufficient condition for their embedding in a Lebesgue space.
Keywords: Sobolev space, weighted Lebesgue space, embedding theorem.
Received: 21.11.2001
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 4, Pages 694–707
DOI: https://doi.org/10.1023/A:1016380420615
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: D. V. Prokhorov, V. D. Stepanov, “On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis”, Sibirsk. Mat. Zh., 43:4 (2002), 864–878; Siberian Math. J., 43:4 (2002), 694–707
Citation in format AMSBIB
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\by D.~V.~Prokhorov, V.~D.~Stepanov
\paper On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 4
\pages 864--878
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1934586}
\zmath{https://zbmath.org/?q=an:1053.46021}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 4
\pages 694--707
\crossref{https://doi.org/10.1023/A:1016380420615}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000177460300011}
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  • https://www.mathnet.ru/eng/smj/v43/i4/p864
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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