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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 1816–1822
DOI: https://doi.org/10.33048/semi.2020.17.123 (Mi semr1317) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Real, complex and functional analysis

The modulus of a family of curves on an abstract surface over a spherical ring

M. V. Tryamkin

Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
Full-text PDF (368 kB) Citations (3)
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DOI: https://doi.org/10.33048/semi.2020.17.123
Abstract: We obtain a two-sided estimate for the modulus of the family of all locally rectifiable curves joining two concentric spheres on a so-called abstract surface. The last notion means that, for a given curve and a point on it, the length element of the curve at this point depends on the direction of movement along the curve; in addition, the volume element is generated by some weight function.
Keywords: abstract surface, modulus of a family of curves, spherical ring.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
The work is supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation.
Received September 1, 2020, published November 10, 2020
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 30C65
Language: English
Citation: M. V. Tryamkin, “The modulus of a family of curves on an abstract surface over a spherical ring”, Sib. Èlektron. Mat. Izv., 17 (2020), 1816–1822
Citation in format AMSBIB
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\by M.~V.~Tryamkin
\paper The modulus of a family of curves on an abstract surface over a spherical ring
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 1816--1822
\mathnet{http://mi.mathnet.ru/semr1317}
\crossref{https://doi.org/10.33048/semi.2020.17.123}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000589412200001}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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