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Zap. Nauchn. Sem. POMI, 2006, Volume 337, Pages 73–100
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This article is cited in 9 scientific papers (total in 9 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
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.
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English version:
Journal of Mathematical Sciences (New York), 2007, 143:3, 3053–3068
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UDC:
517.54
Received: 23.03.2005
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
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\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 337
\pages 73--100
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\jour J. Math. Sci. (N. Y.)
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http://mi.mathnet.ru/eng/znsl183 http://mi.mathnet.ru/eng/znsl/v337/p73
Citing articles on Google Scholar:
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Russian articles,
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This publication is cited in the following articles:
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V. N. Dubinin, V. Yu. Kim, “Distortion theorems for bounded regular functions in the disk”, J. Math. Sci. (N. Y.), 150:3 (2008), 2018–2026
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V. N. Dubinin, D. A. Kirillova, “On extremal decomposition problems”, J. Math. Sci. (N. Y.), 157:4 (2009), 573–583
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V. N. Dubinin, D. B. Karp, V. A. Shlyk, “Izbrannye zadachi geometricheskoi teorii funktsii i teorii potentsiala”, Dalnevost. matem. zhurn., 8:1 (2008), 46–95
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V. V. Vasin, V. N. Dubinin, V. G. Romanov, “Itogovyi nauchnyi otchet po mezhdistsiplinarnomu integratsionnomu proektu SO RAN: “Razrabotka teorii i vychislitelnoi tekhnologii resheniya obratnykh i ekstremalnykh zadach s prilozheniem v matematicheskoi fizike i gravimagnitorazvedke””, Sib. elektron. matem. izv., 5 (2008), 427–439
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V. N. Dubinin, “Emkosti kondensatorov i printsipy mazhoratsii v geometricheskoi teorii funktsii kompleksnogo peremennogo [Itogovyi nauchnyi otchet po mezhdistsiplinarnomu integratsionnomu proektu SO RAN: “Razrabotka teorii i vychislitelnoi tekhnologii resheniya obratnykh i ekstremalnykh zadach s prilozheniem v matematicheskoi fizike i gravimagnitorazvedke”]”, Sib. elektron. matem. izv., 5 (2008), 465–482
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D. A. Kirillova, “Univalent functions without common values”, Russian Math. (Iz. VUZ), 54:9 (2010), 74–76
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V. N. Dubinin, D. A. Kirillova, “Nekotorye primeneniya ekstremalnykh razbienii v geometricheskoi teorii funktsii”, Dalnevost. matem. zhurn., 10:2 (2010), 130–152
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V. N. Dubinin, “Geometric versions of Schwarz lemma and symmetrization”, J. Math. Sci. (N. Y.), 178:2 (2011), 150–157
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S. I. Kalmykov, E. G. Prilepkina, “On the $p$-harmonic Robin radius in the Euclidean space”, J. Math. Sci. (N. Y.), 225:6 (2017), 969–979
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