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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 6, Pages 86–90 (Mi smj812)  
This article is cited in 2 scientific papers (total in 3 papers)

On stability of Möbius transformations in the class of mappings with bounded distortion

N. A. Kudryavtseva, Yu. G. Reshetnyak
Full-text PDF (513 kB) Citations (3)
Abstract: Let $f\colon B(0,1)\to\mathbb{R}^n$ be a mapping with bounded distortion, and $K(x,f)$ be the distortion coefficient of the mapping $f$ at the point $x$. It is proved that if the function $K(x,f)$ is close to 1 in some integral sense, then the mapping $f$ is close to a Möbius transformation.
Received: 22.06.1990
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 6, Pages 1076–1080
DOI: https://doi.org/10.1007/BF00973471
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: N. A. Kudryavtseva, Yu. G. Reshetnyak, “On stability of Möbius transformations in the class of mappings with bounded distortion”, Sibirsk. Mat. Zh., 34:6 (1993), 86–90; Siberian Math. J., 34:6 (1993), 1076–1080
Citation in format AMSBIB
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\by N.~A.~Kudryavtseva, Yu.~G.~Reshetnyak
\paper On stability of M\"obius transformations in the class of mappings with bounded distortion
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 6
\pages 86--90
\mathnet{http://mi.mathnet.ru/smj812}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1268160}
\zmath{https://zbmath.org/?q=an:0808.30014}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 6
\pages 1076--1080
\crossref{https://doi.org/10.1007/BF00973471}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MQ34600009}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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