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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 458, Pages 164–217 (Mi znsl6458)  
This article is cited in 1 scientific paper (total in 1 paper)

Weighted modules and capacities on a Riemann surface

P. A. Pugach, V. A. Shlyk

Vladivostok Branch of Russian Customs Academy, Vladivostok, Russia
Full-text PDF (444 kB) Citations (1)
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Abstract: On a Riemann surface (in the wide sense of the word in the terminology of Hurwitz–Courant) the weighted capacity and module (with a weight of Muokenhoupt) of a condenser with a finite number plates are defined. The equality of the capacity and module of a condenser is proved. This has solved one Dubinin's problem.
Key words and phrases: capacity of the condenser, module of curve family, Riemann surface, condenser with a finite number plates.
Received: 11.07.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 234, Issue 5, Pages 701–736
DOI: https://doi.org/10.1007/s10958-018-4038-z
Document Type: Article
UDC: 517.54
Language: Russian
Citation: P. A. Pugach, V. A. Shlyk, “Weighted modules and capacities on a Riemann surface”, Analytical theory of numbers and theory of functions. Part 33, Zap. Nauchn. Sem. POMI, 458, POMI, St. Petersburg, 2017, 164–217; J. Math. Sci. (N. Y.), 234:5 (2018), 701–736
Citation in format AMSBIB
\Bibitem{PugShl17}
\by P.~A.~Pugach, V.~A.~Shlyk
\paper Weighted modules and capacities on a~Riemann surface
\inbook Analytical theory of numbers and theory of functions. Part~33
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 458
\pages 164--217
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6458}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 234
\issue 5
\pages 701--736
\crossref{https://doi.org/10.1007/s10958-018-4038-z}
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    • 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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