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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 1, Pages 164–186
DOI: https://doi.org/10.33048/semi.2022.19.014 (Mi semr1491) 		 
Real, complex and functional analysis

Capacities of generalized condensers with $A_1$-Muckenhoupt weight

Yu. V. Dymchenkoabc, V. A. Shlykdc

a Maritime State University, 50a, Verkhneportovaya str., Vladivostok, 690059, Russia
b Institute of Applied Mathematics, Vladivostok Branch of the RAS 7, Radio str., Vladivostok, 690041, Russia
c Far Eastern Federal University, Far Eastern Center for Research and Education in Mathematics, 10, Ajax Bay, Vladivostok, 690922, Russia
d Vladivostok Branch of Russian Customs Academy, 16v, Strelkovaya str., Vladivostok, 690034, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.014
Abstract: We prove the relations (related to $A_1$-Muckenhoupt weight) between two capacities of a generalized condenser and the moduli of vector measures on the curve configuration.
Keywords: capacity of condenser, Muckenhoupt weight, modulus of vector measures.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2022-880
The research was funded by the Ministry of Science and Higher Education of the Russian Federation (agreement No. 075-02-2022-880)
Received August 23, 2021, published March 11, 2022
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 46E35, 31C45
Language: English
Citation: Yu. V. Dymchenko, V. A. Shlyk, “Capacities of generalized condensers with $A_1$-Muckenhoupt weight”, Sib. Èlektron. Mat. Izv., 19:1 (2022), 164–186
Citation in format AMSBIB
\Bibitem{DymShl22}
\by Yu.~V.~Dymchenko, V.~A.~Shlyk
\paper Capacities of generalized condensers with $A_1$-Muckenhoupt weight
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 1
\pages 164--186
\mathnet{http://mi.mathnet.ru/semr1491}
\crossref{https://doi.org/10.33048/semi.2022.19.014}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4394276}
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