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Dal'nevostochnyi Matematicheskii Zhurnal, 2004, Volume 5, Number 1, Pages 22–29 (Mi dvmg171)  
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
Full-text PDF (159 kB) Citations (2)
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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
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 31A15
Language: Russian
Citation: E. V. Kostyuchenko, E. G. Prilepkina, “About polarization with respect to hypersphere”, Dal'nevost. Mat. Zh., 5:1 (2004), 22–29
Citation in format AMSBIB
\Bibitem{KosPri04}
\by E.~V.~Kostyuchenko, E.~G.~Prilepkina
\paper About polarization with respect to hypersphere
\jour Dal'nevost. Mat. Zh.
\yr 2004
\vol 5
\issue 1
\pages 22--29
\mathnet{http://mi.mathnet.ru/dvmg171}
\elib{https://elibrary.ru/item.asp?id=8823086}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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