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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 5, Pages 1020–1056
DOI: https://doi.org/10.17377/smzh.2018.59.507 (Mi smj3027) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Basics of the quasiconformal analysis of a two-index scale of spatial mappings

S. K. Vodopyanovabc

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
c Peoples' Friendship University of Russia, Moscow, Russia
Full-text PDF (524 kB) Citations (12)
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DOI: https://doi.org/10.17377/smzh.2018.59.507
Abstract: We define a scale of mappings that depends on two real parameters $p$ and $q$, $n-1\leq q\leq p<\infty$, and a weight function $\theta$ In the case of $q=p=n$, $\theta\equiv1$, we obtain the well-known mappings with bounded distortion. Mappings of a two-index scale inherit many properties of mappings with bounded distortion. They are used for solving a few problems of global analysis and applied problems.
Keywords: quasiconformal analysis, Sobolev space, capacity estimate, theorem on removable singularities.
Funding agency Grant number
Russian Science Foundation 16-41-02004
The author was supported by the Russian Science Foundation (Grant 16-41-02004).
Received: 28.06.2018
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 5, Pages 805–834
DOI: https://doi.org/10.1134/S0037446618050075
Bibliographic databases:
Document Type: Article
UDC: 517.518+517.54
Language: Russian
Citation: S. K. Vodopyanov, “Basics of the quasiconformal analysis of a two-index scale of spatial mappings”, Sibirsk. Mat. Zh., 59:5 (2018), 1020–1056; Siberian Math. J., 59:5 (2018), 805–834
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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