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Sbornik: Mathematics, 2015, Volume 206, Issue 1, Pages 61–86
DOI: https://doi.org/10.1070/SM2015v206n01ABEH004446 (Mi sm8309) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Circular symmetrization of condensers on Riemann surfaces

V. N. Dubininab

a Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
English version PDF (618 kB) Citations (15)
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DOI: https://doi.org/10.1070/SM2015v206n01ABEH004446
Abstract: We give a simplified definition of the new version of circular symmetrization which has previously been suggested by the author for solving extremal problems in geometric function theory. A proof of the symmetrization principle for the capacities of condensers on Riemann surfaces is presented. In addition, the class of condensers under consideration is extended and all the cases of equality in the symmetrization principle are found.
Bibliography: 22 titles.
Keywords: circular symmetrization, condenser capacity, Riemann surface, Chebyshev polynomial.
Funding agency Grant number
Russian Science Foundation 14-11-00022
This work was supported by the Russian Science Foundation under grant no. 14-11-00022.
Received: 26.11.2013
Russian version:
Matematicheskii Sbornik, 2015, Volume 206, Number 1, Pages 69–96
DOI: https://doi.org/10.4213/sm8309
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30A10, 30C55, 30C85
Language: English
Original paper language: Russian
Citation: V. N. Dubinin, “Circular symmetrization of condensers on Riemann surfaces”, Mat. Sb., 206:1 (2015), 69–96; Sb. Math., 206:1 (2015), 61–86
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:216
    English version PDF:20
    References:89
    First page:87
     
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