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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 2, Pages 433–437 (Mi smj1186)  
Singular measures and $(1,p)$-capacity on weighted Sobolev classes

A. S. Romanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: Conditions are studied under which the contribution of the singular part of a measure to the $(1,p)$-capacity of an arbitrary condenser is zero.
Keywords: measure, capacity, Sobolev space.
Received: 18.11.2002
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 2, Pages 346–349
DOI: https://doi.org/10.1023/A:1022997107307
Bibliographic databases:
UDC: 517.518.11
Language: Russian
Citation: A. S. Romanov, “Singular measures and $(1,p)$-capacity on weighted Sobolev classes”, Sibirsk. Mat. Zh., 44:2 (2003), 433–437; Siberian Math. J., 44:2 (2003), 346–349
Citation in format AMSBIB
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\paper Singular measures and $(1,p)$-capacity on weighted Sobolev classes
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\vol 44
\issue 2
\pages 433--437
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\zmath{https://zbmath.org/?q=an:1035.28004}
\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 2
\pages 346--349
\crossref{https://doi.org/10.1023/A:1022997107307}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000182502000016}
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