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Estimation of dilatations for mappings more general than quasiregular mappings

Zhytomyr State University Library

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Relation http://eprints.zu.edu.ua/13846/
 
Title Estimation of dilatations for mappings more general than quasiregular mappings
 
Creator Sevost’yanov, Е. А.
Salіmov, R. R.
 
Subject Mathematical Analysis
 
Description We consider the so-called ring Q-mappings, which are natural generalizations of quasiregular mappings
in a sense of V¨ais¨al¨a’s geometric definition of moduli. It is shown that, under the condition of nondegeneracy
of these mappings, their inner dilatation is majorized by a function Q.x/ to within a constant
depending solely on the dimension of the space.
 
Publisher Springer US
 
Date 2011
 
Type Article
PeerReviewed
 
Format text
 
Language uk
english
 
Identifier http://eprints.zu.edu.ua/13846/1/UMJ_1.pdf
Sevost’yanov, Е. А. and Salіmov, R. R. (2011) Estimation of dilatations for mappings more general than quasiregular mappings. Ukrainian Mathematical Journal, 62 (11). pp. 1775-1782. ISSN 0041-5995