Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
\Bibitem{KudRes93}
\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}
Linking options:
  • https://www.mathnet.ru/eng/smj812
  • https://www.mathnet.ru/eng/smj/v34/i6/p86
    • 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
    Statistics & downloads:
    Abstract page:315
    Full-text PDF :106
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024