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Problemy Analiza — Issues of Analysis, 2013, Volume 2(20), Issue 2, Pages 3–20 (Mi pa5)  
This article is cited in 2 scientific papers (total in 2 papers)

Growth theorems on classes of normalized locally quasiconformal mappings

S. Yu. Grafab

a Petrozavodsk State University
b Tver State University, Department of Mathematics
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Abstract: The asymptotic sharp growth theorems are proved in the classes of normalized locally quasiconformal automorphisms of the unit disk with the given majorant of the Laurentev's characteristic. The main results are obtained by the means of the methods of extremal lengths, symmetrization and some new method of estimation of distortion of modules of double connected domains under the locally quasiconformal mappings.
Keywords: locally quasiconformal mapping; moduli of families of curves; growth theorems.
Received: 09.09.2013
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: Primary 30C45; Secondary 30C62
Language: Russian
Citation: S. Yu. Graf, “Growth theorems on classes of normalized locally quasiconformal mappings”, Probl. Anal. Issues Anal., 2(20):2 (2013), 3–20
Citation in format AMSBIB
\Bibitem{Gra13}
\by S.~Yu.~Graf
\paper Growth theorems on classes of normalized locally quasiconformal mappings
\jour Probl. Anal. Issues Anal.
\yr 2013
\vol 2(20)
\issue 2
\pages 3--20
\mathnet{http://mi.mathnet.ru/pa5}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3168875}
\zmath{https://zbmath.org/?q=an:1291.30076}
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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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    		Problemy Analiza — Issues of Analysis
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