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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 383, Pages 126–143
(Mi znsl3877)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/znsl3877 https://www.mathnet.ru/eng/znsl/v383/p126
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Abstract page: | 279 | Full-text PDF : | 63 | References: | 52 |
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