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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 404, Pages 100–119 (Mi znsl5262)  
This article is cited in 1 scientific paper (total in 1 paper)

Generalized capacities, compound curves and removable sets

Yu. V. Dymchenkoa, V. A. Shlykb

a Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia
b Far Eastern Federal University, Vladivostok, Russia
Full-text PDF (312 kB) Citations (1)
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Abstract: Relations between the generalized capacity of a condenser in sense of Aikawa–Ohtsuka and the module of a family of compound curves connecting the condenser plates through a given set are established. Conditions of the removability of compact for the generalized capacity of a condenser are obtained.
Properties of the extremal length of vector measures are used.
Key words and phrases: generalized capacities, spherical symmetrization, removable sets.
Received: 23.05.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 193, Issue 1, Pages 55–65
DOI: https://doi.org/10.1007/s10958-013-1433-3
Bibliographic databases:
Document Type: Article
UDC: 517.54+517.554
Language: Russian
Citation: Yu. V. Dymchenko, V. A. Shlyk, “Generalized capacities, compound curves and removable sets”, Analytical theory of numbers and theory of functions. Part 27, Zap. Nauchn. Sem. POMI, 404, POMI, St. Petersburg, 2012, 100–119; J. Math. Sci. (N. Y.), 193:1 (2013), 55–65
Citation in format AMSBIB
\Bibitem{DymShl12}
\by Yu.~V.~Dymchenko, V.~A.~Shlyk
\paper Generalized capacities, compound curves and removable sets
\inbook Analytical theory of numbers and theory of functions. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 404
\pages 100--119
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5262}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3029595}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 193
\issue 1
\pages 55--65
\crossref{https://doi.org/10.1007/s10958-013-1433-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884978121}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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