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Dal'nevostochnyi Matematicheskii Zhurnal, 2004, Volume 5, Number 1, Pages 22–29
(Mi dvmg171)
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This article is cited in 2 scientific papers (total in 2 papers)
About polarization with respect to hypersphere
E. V. Kostyuchenko, E. G. Prilepkina Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Abstract:
Polarization with respect to hypersphere is expressed with the help of conformal mappings through polarization of flat sets with respect to a straight line. It is formulated continuous (partial) simmetrization with respect to hypersphere in euclidean $n$-space. As an application of the new representation of hypersphere-polarization the non-increasing of the conformal capacity of condenser is proved.
Key words:
condenser, conformal capacity, simmetrization, polarization.
Received: 30.03.2004
Citation:
E. V. Kostyuchenko, E. G. Prilepkina, “About polarization with respect to hypersphere”, Dal'nevost. Mat. Zh., 5:1 (2004), 22–29
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https://www.mathnet.ru/eng/dvmg171 https://www.mathnet.ru/eng/dvmg/v5/i1/p22
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Abstract page: | 203 | Full-text PDF : | 56 | References: | 44 | First page: | 1 |
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