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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 276, Pages 52–82 (Mi znsl1412)  

This article is cited in 12 scientific papers (total in 12 papers)

Null-sets criteria for weighed Sobolev spaces

I. N. Demshin, Yu. V. Dymchenko, V. A. Shlyk

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Abstract: We establish exact functional, capacity, and metric characteristics for null-sets in weighted Sobolev spaces with the Muckenhoupt weight.
Received: 25.07.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 118, Issue 1, Pages 4760–4777
DOI: https://doi.org/10.1023/A:1025564331343
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: I. N. Demshin, Yu. V. Dymchenko, V. A. Shlyk, “Null-sets criteria for weighed Sobolev spaces”, Analytical theory of numbers and theory of functions. Part 17, Zap. Nauchn. Sem. POMI, 276, POMI, St. Petersburg, 2001, 52–82; J. Math. Sci. (N. Y.), 118:1 (2003), 4760–4777
Citation in format AMSBIB
\Bibitem{DemDymShl01}
\by I.~N.~Demshin, Yu.~V.~Dymchenko, V.~A.~Shlyk
\paper Null-sets criteria for weighed Sobolev spaces
\inbook Analytical theory of numbers and theory of functions. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 276
\pages 52--82
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1412}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1850363}
\zmath{https://zbmath.org/?q=an:1089.46022}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 118
\issue 1
\pages 4760--4777
\crossref{https://doi.org/10.1023/A:1025564331343}
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  • https://www.mathnet.ru/eng/znsl/v276/p52
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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