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Matematicheskie Zametki, 2021, Volume 109, Issue 4, Pages 597–607
DOI: https://doi.org/10.4213/mzm12682 (Mi mzm12682) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Equicontinuity of Families of Mappings with One Normalization Condition

E. A. Sevost'yanovab, S. Sergeia

a Zhytomyr Ivan Franko State University
b Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine
Full-text PDF (528 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm12682
Abstract: We study the behavior of a certain class of mappings of a domain in Euclidean space. We prove that this class is equicontinuous both at the interior and boundary points, of the domain provided that it consists of mappings that satisfy a common normalization condition and whose quasiconformality characteristic has only tempered growth in a neighborhood of each point in the closure of the domain.
Keywords: quasiconformal analysis, mapping with bounded and finite distortion, local and boundary behavior of a mapping.
Received: 25.01.2020
Revised: 24.11.2020
English version:
Mathematical Notes, 2021, Volume 109, Issue 4, Pages 614–622
DOI: https://doi.org/10.1134/S0001434621030317
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: E. A. Sevost'yanov, S. Sergei, “Equicontinuity of Families of Mappings with One Normalization Condition”, Mat. Zametki, 109:4 (2021), 597–607; Math. Notes, 109:4 (2021), 614–622
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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