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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 1, Pages 477–485
DOI: https://doi.org/10.33048/semi.2023.20.028 (Mi semr1592) 		 
Real, complex and functional analysis

On the dissymmetrization theorem

V. N. Dubinin

Institute for Applied Mathematics, FEBRAS, Radio str., 7, 690041, Vladivostok, Russia
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DOI: https://doi.org/10.33048/semi.2023.20.028
Abstract: A new property of the previously proposed dissymmetrization of functions is established. The conjecture about the capacity of condensers in a circular ring with plates in the form of circles or radial cuts is discussed. The connection of this conjecture with the well-known Gonchar-Baernstein problem of a harmonic measure is shown.
Keywords: dissymmetrization, harmonic measure, Dirichlet integral, condenser capacity.
Funding agency Grant number
Russian Science Foundation 23-21-00056
This work was supported by the Russian Science Foundation under grant № 23-21-00056, https://rscf.ru/project/23-21-00056/.
Received April 18, 2023, published June 27, 2023
Document Type: Article
UDC: 517.544.5
MSC: 31A15
Language: English
Citation: V. N. Dubinin, “On the dissymmetrization theorem”, Sib. Èlektron. Mat. Izv., 20:1 (2023), 477–485
Citation in format AMSBIB
\Bibitem{Dub23}
\by V.~N.~Dubinin
\paper On the dissymmetrization theorem
\jour Sib. \`Elektron. Mat. Izv.
\yr 2023
\vol 20
\issue 1
\pages 477--485
\mathnet{http://mi.mathnet.ru/semr1592}
\crossref{https://doi.org/10.33048/semi.2023.20.028}
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