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Problemy Analiza — Issues of Analysis, 2016, Volume 5(23), Issue 2, Pages 33–37
DOI: https://doi.org/10.15393/j3.art.2016.3330 (Mi pa200) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Quasi-isometric mappings and the $p$-moduli of path families

A. P. Kopylovab

a Novosibirsk State University, 2, Pirogova st., Novosibirsk 630090, Russia
b Sobolev Institute of Mathematics, 4, Acad. Koptyuga pr., Novosibirsk 630090, Russia
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DOI: https://doi.org/10.15393/j3.art.2016.3330
Abstract: In this article, we study a connection between quasiisometric mappings of $n$-dimensional domains and the $p$-moduli of path families. In particular, we obtain explicit (and sharp) estimates for the distortion of the $p$-moduli of path families under $K$-quasi-isometric mappings.
Keywords: $p$-modulus of path families; $p$-capacity of the condenser; quasi-isometric mappings.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00819_a
Far Eastern Branch of the Russian Academy of Sciences 56
Ministry of Education and Science of the Russian Federation NSh-921.2012.1
The author was partially supported by the Russian Foundation for Basic Research (Grant 11-01-00819-a), the Interdisciplinary Project of the Siberian and Far-Eastern Divisions of the Russian Academy of Sciences (2012-2014 no. 56), the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-921.2012.1) and the Exchange Program between the Russian and Polish Academies of Sciences (Project 2014-2016).
Received: 05.10.2016
Revised: 05.12.2016
Accepted: 02.12.2016
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30C65
Language: English
Citation: A. P. Kopylov, “Quasi-isometric mappings and the $p$-moduli of path families”, Probl. Anal. Issues Anal., 5(23):2 (2016), 33–37
Citation in format AMSBIB
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\by A.~P.~Kopylov
\paper Quasi-isometric mappings and the $p$-moduli of path families
\jour Probl. Anal. Issues Anal.
\yr 2016
\vol 5(23)
\issue 2
\pages 33--37
\mathnet{http://mi.mathnet.ru/pa200}
\crossref{https://doi.org/10.15393/j3.art.2016.3330}
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\elib{https://elibrary.ru/item.asp?id=27537150}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Problemy Analiza — Issues of Analysis
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