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Algebra i Analiz, 2016, Volume 28, Issue 6, Pages 118–146 (Mi aa1516)  

This article is cited in 21 scientific papers (total in 21 papers)

Research Papers

On local and boundary behaviour of mappings in metric spaces

E. A. Sevostyanov

Zhytomyr Ivan Franko State University, Zhytomyr, Ukraine
References:
Abstract: The paper is devoted to maps of metric spaces whose quasiconformal characteristic satisfies certain restrictions of integral nature. In particular, theorems on equicontinuity of a family of homeomorphisms are obtained, as well as some results of their extendibility to isolated points of the boundary of a domain. Under some additional topological assumptions, similar statements hold for more general open discrete maps.
Keywords: Moduli of families of curves and surfaces, maps with bounded and finite distortion, boundary behavior of mappings, metric spaces.
Received: 05.03.2016
English version:
St. Petersburg Mathematical Journal, 2017, Volume 28, Issue 6, Pages 807–824
DOI: https://doi.org/10.1090/spmj/1475
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. A. Sevostyanov, “On local and boundary behaviour of mappings in metric spaces”, Algebra i Analiz, 28:6 (2016), 118–146; St. Petersburg Math. J., 28:6 (2017), 807–824
Citation in format AMSBIB
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\pages 118--146
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  • https://www.mathnet.ru/eng/aa/v28/i6/p118
  • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
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