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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 4, Pages 920–930 (Mi smj2373)  
This article is cited in 30 scientific papers (total in 30 papers)

Estimation of the measure of the image of the ball

R. R. Salimov

Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk, Ukraine
Full-text PDF (319 kB) Citations (30)
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Abstract: Under study is the class of ring $Q$-homeomorphisms with respect to the $p$-module. We establish a criterion for a function to belong to the class and solve a problem that stems from M. A. Lavrentiev [1] on the estimation of the measure of the image of the ball under these mappings. We also address the asymptotic behavior of these mappings at a point.
Keywords: $p$-modulus, $p$-capacity, $Q$-homeomorphism, ring $Q$-homeomorphism, quasiconformal mapping, mean quasiconformal mapping.
Received: 24.05.2011
Revised: 30.12.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 4, Pages 739–747
DOI: https://doi.org/10.1134/S0037446612040155
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: R. R. Salimov, “Estimation of the measure of the image of the ball”, Sibirsk. Mat. Zh., 53:4 (2012), 920–930; Siberian Math. J., 53:4 (2012), 739–747
Citation in format AMSBIB
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    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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