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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 237, Pages 11–20 (Mi znsl437)  
This article is cited in 5 scientific papers (total in 5 papers)

On the local behavior of certain homeomorphisms. II

M. Brakalovaa, J. A. Jenkinsb

a Department of Mathematics, The Hotchkiss School
b Department of Mathematics, Washington University in St. Louis
Full-text PDF (134 kB) Citations (5)
Abstract: In the previous paper by the authors, it is shown that a sense-preserving homeomorphism, absolutely continuous on lines (ACL), under certain integral conditions on the complex dilation is conformal at a point. This result includes the Teichmüller–Wittich–Belinski theorem. In the present paper, it is shown that under weakened conditions the local behavior of such a homeomorphism is similar to that of a quasiconformal mapping.
Received: 09.09.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 95, Issue 3, Pages 2178–2184
DOI: https://doi.org/10.1007/BF02172461
Bibliographic databases:
UDC: 517.54
Language: English
Citation: M. Brakalova, J. A. Jenkins, “On the local behavior of certain homeomorphisms. II”, Analytical theory of numbers and theory of functions. Part 14, Zap. Nauchn. Sem. POMI, 237, POMI, St. Petersburg, 1997, 11–20; J. Math. Sci. (New York), 95:3 (1999), 2178–2184
Citation in format AMSBIB
\Bibitem{BraJen97}
\by M.~Brakalova, J.~A.~Jenkins
\paper On~the local behavior of certain homeomorphisms.~II
\inbook Analytical theory of numbers and theory of functions. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 237
\pages 11--20
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl437}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691279}
\zmath{https://zbmath.org/?q=an:0930.30018}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 95
\issue 3
\pages 2178--2184
\crossref{https://doi.org/10.1007/BF02172461}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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