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Matematicheskie Trudy, 2004, Volume 7, Number 1, Pages 13–49 (Mi mt69)  
This article is cited in 25 scientific papers (total in 25 papers)

Set Functions and Their Applications in the Theory of Lebesgue and Sobolev Spaces. II

S. K. Vodop'yanova, A. D.-O. Ukhlovb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Khabarovsk State University of Technology
Full-text PDF (2797 kB) Citations (25)
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Abstract: We study the properties of the mappings inducing a bounded operator of Lebesgue or Sobolev spaces by change of variable and the properties of the operator of extension of functions in Sobolev classes beyond the domain of definition.
Key words: quasiadditive set function, Lebesgue space, Sobolev space, embedding theorems.
Received: 02.04.2002
Bibliographic databases:
UDC: 517.518.1+517.54
Language: Russian
Citation: S. K. Vodop'yanov, A. D.-O. Ukhlov, “Set Functions and Their Applications in the Theory of Lebesgue and Sobolev Spaces. II”, Mat. Tr., 7:1 (2004), 13–49; Siberian Adv. Math., 15:1 (2005), 91–125
Citation in format AMSBIB
\Bibitem{VodUkh04}
\by S.~K.~Vodop'yanov, A.~D.-O.~Ukhlov
\paper Set Functions and Their Applications in the~Theory of Lebesgue and Sobolev Spaces.~II
\jour Mat. Tr.
\yr 2004
\vol 7
\issue 1
\pages 13--49
\mathnet{http://mi.mathnet.ru/mt69}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2068275}
\zmath{https://zbmath.org/?q=an:1091.47027}
\elib{https://elibrary.ru/item.asp?id=9530092}
\transl
\jour Siberian Adv. Math.
\yr 2005
\vol 15
\issue 1
\pages 91--125
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    Cycle of papers
    This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    Abstract page:620
    Full-text PDF :225
    References:95
    First page:1
     
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