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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 383, Pages 148–178 (Mi znsl3879)  
This article is cited in 4 scientific papers (total in 4 papers)

Generalized capacities and polyhedral surfaces

P. A. Pugacha, V. A. Shlykb

a Vladivostok Branch of Russian Customs Academy, Vladivostok, Russia
b Far Eastern National University, Vladivostok, Russia
Full-text PDF (345 kB) Citations (4)
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Abstract: In the paper, we apply the theory of extremal length of vector measures to establish that the generalized condenser capacity in the sense of Aikawa and Ohtsuka is related to the module of a family of surfaces separating the condenser's plates and no intersecting prescribed set. We prove that the system of the polyhedral surfaces from the above family is sufficient to approximate the module of this family. Bibl. 17 titles.
Key words and phrases: condencer, condencer capacity, module of a family of curves, module of a family of surfaces.
Received: 11.05.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 178, Issue 2, Pages 201–218
DOI: https://doi.org/10.1007/s10958-011-0540-2
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: P. A. Pugach, V. A. Shlyk, “Generalized capacities and polyhedral surfaces”, Analytical theory of numbers and theory of functions. Part 25, Zap. Nauchn. Sem. POMI, 383, POMI, St. Petersburg, 2010, 148–178; J. Math. Sci. (N. Y.), 178:2 (2011), 201–218
Citation in format AMSBIB
\Bibitem{PugShl10}
\by P.~A.~Pugach, V.~A.~Shlyk
\paper Generalized capacities and polyhedral surfaces
\inbook Analytical theory of numbers and theory of functions. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 383
\pages 148--178
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3879}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 178
\issue 2
\pages 201--218
\crossref{https://doi.org/10.1007/s10958-011-0540-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80053518367}
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  • https://www.mathnet.ru/eng/znsl/v383/p148
    • 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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