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Matematicheskie Zametki, 2012, Volume 92, Issue 6, Pages 834–843
DOI: https://doi.org/10.4213/mzm10148 (Mi mzm10148) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The Grötzsch and Teichmüller Extremal Problems on a Riemann Surface

V. N. Dubinin

Far Eastern Federal University
Full-text PDF (452 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10148
Abstract: The Grötzsch and Teichmüller well-known extremal problems for the moduli of plane doubly connected domains are extended to the case of domains on Riemann surfaces.
Keywords: Grötzsch ring, Teichmüller ring, Riemann surface, modulus of a doubly connected domain, condenser, condenser capacity.
Received: 12.05.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 1, Pages 50–57
DOI: https://doi.org/10.1134/S0001434613010057
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. N. Dubinin, “The Grötzsch and Teichmüller Extremal Problems on a Riemann Surface”, Mat. Zametki, 92:6 (2012), 834–843; Math. Notes, 93:1 (2013), 50–57
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm10148
  • https://www.mathnet.ru/eng/mzm/v92/i6/p834
    • This publication is cited in the following 4 articles:
    1. P. A. Pugach, V. A. Shlyk, “Сondensers and equivalent open sets on a Riemann surface”, J. Math. Sci. (N. Y.), 225:6 (2017), 994–1011  mathnet  crossref  mathscinet
    2. V. N. Dubinin, “Circular symmetrization of condensers on Riemann surfaces”, Sb. Math., 206:1 (2015), 61–86  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. Dubinin V.N., Kim V.Yu., “Covering Theorem For P-Valent Functions With Montel'S Normalization”, J. Math. Anal. Appl., 428:1 (2015), 502–507  crossref  mathscinet  zmath  isi  elib  scopus
    4. V. N. Dubinin, “Four-point distortion theorem for complex polynomials”, Complex Var. Elliptic Equ., 59:1 (2014), 59–66  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:66
    First page:51
     
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