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Matematicheskie Zametki, 2017, Volume 101, Issue 4, Pages 594–610
DOI: https://doi.org/10.4213/mzm10707 (Mi mzm10707) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On Local Properties of Spatial Generalized Quasi-isometries

R. R. Salimova, E. A. Sevost'yanovb

a Institute of Mathematics, Ukrainian National Academy of Sciences
b Zhytomyr I. Franko State University
Full-text PDF (540 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm10707
Abstract: An upper bound for the measure of the image of a ball under mappings of a certain class generalizing the class of branched spatial quasi-isometries is determined. As a corollary, an analog of Schwarz' classical lemma for these mappings is proved under an additional constraint of integral character. The obtained results have applications to the classes of Sobolev and Orlicz–Sobolev spaces.
Keywords: mappings with bounded and finite distortion, local behavior of mappings, equicontinuity, bounds for distance distortion.
Received: 22.01.2015
Revised: 15.08.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 4, Pages 704–717
DOI: https://doi.org/10.1134/S0001434617030294
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: R. R. Salimov, E. A. Sevost'yanov, “On Local Properties of Spatial Generalized Quasi-isometries”, Mat. Zametki, 101:4 (2017), 594–610; Math. Notes, 101:4 (2017), 704–717
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    1. Izv. Math., 87:4 (2023), 683–725  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. S. K. Vodopyanov, “Coincidence of set functions in quasiconformal analysis”, Sb. Math., 213:9 (2022), 1157–1186  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. S. K. Vodopyanov, A. O. Tomilov, “Functional and analytic properties of a class of mappings in quasi-conformal analysis”, Izv. Math., 85:5 (2021), 883–931  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    4. S. K. Vodopyanov, “On the equivalence of two approaches to problems of quasiconformal analysis”, Siberian Math. J., 62:6 (2021), 1010–1025  mathnet  crossref  crossref  isi  elib
    5. R. R. Salimov, E. A. Sevost'yanov, A. A. Markish, “On the lower estimate of the distortion of distance for one class of mappings”, Ukr. Math. J., 70:11 (2019), 1791–1802  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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