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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 383, Pages 126–143 (Mi znsl3877)  
This article is cited in 1 scientific paper (total in 1 paper)

The method of extremal metric in the problem on the maximum of a conformal invariant

G. V. Kuz'mina

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (224 kB) Citations (1)
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Abstract: Applications of an extremal metric approach to the problems on extremal decomposition are presented. Problems on the maxima of a certain weighted sum of the reduced modules of simply connected domains and of a related conformal invariant are solved. Bibl. 13 titles.
Key words and phrases: extremal metric, module problem for a family of curves, reduced module of a domain, conformal invariant.
Received: 01.09.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 178, Issue 2, Pages 187–197
DOI: https://doi.org/10.1007/s10958-011-0538-9
Bibliographic databases:
Document Type: Article
UDC: 511.54
Language: Russian
Citation: G. V. Kuz'mina, “The method of extremal metric in the problem on the maximum of a conformal invariant”, Analytical theory of numbers and theory of functions. Part 25, Zap. Nauchn. Sem. POMI, 383, POMI, St. Petersburg, 2010, 126–143; J. Math. Sci. (N. Y.), 178:2 (2011), 187–197
Citation in format AMSBIB
\Bibitem{Kuz10}
\by G.~V.~Kuz'mina
\paper The method of extremal metric in the problem on the maximum of a~conformal invariant
\inbook Analytical theory of numbers and theory of functions. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 383
\pages 126--143
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3877}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 178
\issue 2
\pages 187--197
\crossref{https://doi.org/10.1007/s10958-011-0538-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80053520539}
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  • https://www.mathnet.ru/eng/znsl/v383/p126
    • 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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