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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 371, Pages 56–68 (Mi znsl3544)  
This article is cited in 1 scientific paper (total in 1 paper)

Capacity of polycondensor and the module of the family of vector measure

Yu. V. Dymchenko, V. A. Shlyk

Far Eastern National University, Vladivostok, Russia
Full-text PDF (596 kB) Citations (1)
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Abstract: The paper considers the capacity of a polycondenser and the modules of families of measures related to curves connecting the polycondenser's plates. It is proved that these quantities are equal. Also a relation between the polycondenser's capacity and the module of a family of vector measures connected with a class of functions admissible for the polycondinser's capacity is established. The results obtained generalize the corresponding results by M. Ohtzuka and H. Aikava. Bibl. – 7 titles.
Key words and phrases: capacity, module, polycondencser, vector measure, curves, surfaces.
Received: 08.10.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 166, Issue 2, Pages 155–161
DOI: https://doi.org/10.1007/s10958-010-9855-7
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: Yu. V. Dymchenko, V. A. Shlyk, “Capacity of polycondensor and the module of the family of vector measure”, Analytical theory of numbers and theory of functions. Part 24, Zap. Nauchn. Sem. POMI, 371, POMI, St. Petersburg, 2009, 56–68; J. Math. Sci. (N. Y.), 166:2 (2010), 155–161
Citation in format AMSBIB
\Bibitem{DymShl09}
\by Yu.~V.~Dymchenko, V.~A.~Shlyk
\paper Capacity of polycondensor and the module of the family of vector measure
\inbook Analytical theory of numbers and theory of functions. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 371
\pages 56--68
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3544}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 166
\issue 2
\pages 155--161
\crossref{https://doi.org/10.1007/s10958-010-9855-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952044616}
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  • https://www.mathnet.ru/eng/znsl/v371/p56
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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