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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 276, Pages 112–133 (Mi znsl1414)  
This article is cited in 4 scientific papers (total in 4 papers)

An equality of condenser capacity and condenser module on surface

Yu. V. Dymchenko

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (251 kB) Citations (4)
Abstract: We study properties of the capacity of a condenser and of the module of a family of curves on a surface. Some properties of the spaces $L_{\varphi,F}(G)$ and $L^1_{\varphi,F}(G)$ are established. These properties are applied in proving that the capacity and module of a capacity on a surface are equal.
Received: 29.06.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 118, Issue 1, Pages 4795–4807
DOI: https://doi.org/10.1023/A:1025568432251
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: Yu. V. Dymchenko, “An equality of condenser capacity and condenser module on surface”, Analytical theory of numbers and theory of functions. Part 17, Zap. Nauchn. Sem. POMI, 276, POMI, St. Petersburg, 2001, 112–133; J. Math. Sci. (N. Y.), 118:1 (2003), 4795–4807
Citation in format AMSBIB
\Bibitem{Dym01}
\by Yu.~V.~Dymchenko
\paper An equality of condenser capacity and condenser module on surface
\inbook Analytical theory of numbers and theory of functions. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 276
\pages 112--133
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1414}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1850365}
\zmath{https://zbmath.org/?q=an:1066.31005}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 118
\issue 1
\pages 4795--4807
\crossref{https://doi.org/10.1023/A:1025568432251}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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