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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 337, Pages 73–100 (Mi znsl183)  
This article is cited in 12 scientific papers (total in 12 papers)

Capacities of condensers, generalizations of Grötzsch Lemmas, and symmetrization

V. N. Dubinin

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (301 kB) Citations (12)
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Abstract: Principles of symmetry and composition for the conformal capacity of generalized condensers are considered. Interrelations among these principles, the classical Grötzsch lemmas, and certain types of symmetrization are discussed. Applications to estimating the logarithmic and hyperbolic capacities of compacts and to extremal decomposition problems are presented. Bibliography: 27 titles.
Received: 23.03.2005
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 143, Issue 3, Pages 3053–3068
DOI: https://doi.org/10.1007/s10958-007-0191-5
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: V. N. Dubinin, “Capacities of condensers, generalizations of Grötzsch Lemmas, and symmetrization”, Analytical theory of numbers and theory of functions. Part 21, Zap. Nauchn. Sem. POMI, 337, POMI, St. Petersburg, 2006, 73–100; J. Math. Sci. (N. Y.), 143:3 (2007), 3053–3068
Citation in format AMSBIB
\Bibitem{Dub06}
\by V.~N.~Dubinin
\paper Capacities of condensers, generalizations of Gr\"otzsch Lemmas, and symmetrization
\inbook Analytical theory of numbers and theory of functions. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 337
\pages 73--100
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl183}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2271958}
\zmath{https://zbmath.org/?q=an:1115.30023}
\elib{https://elibrary.ru/item.asp?id=9305275}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 143
\issue 3
\pages 3053--3068
\crossref{https://doi.org/10.1007/s10958-007-0191-5}
\elib{https://elibrary.ru/item.asp?id=13554480}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34248224637}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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