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The miniowitz and vuorinen theorems for the mappings with non-bounded characteristics

Zhytomyr State University Library

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Relation http://eprints.zu.edu.ua/19290/
 
Title The miniowitz and vuorinen theorems for the mappings with non-bounded characteristics
 
Creator Севостьянов, Е. А.
 
Subject Mathematical Analysis
 
Description The paper is devoted to the study of classes of mappings with non-bounded characteristics of quasiconformality. We prove that the normal families of Q-mappings have the logarithmic order of growth in a neighborhood of
a point. Moreover, we establish sufficient conditions for Q to ensure the normality of mappings f : D → Rn, n ≥ 2, which omit the points of a set Ef. The latter obeys c(Ef ) ≥ δ, δ > 0, where c(·) is an appropriate set function.
 
Date 2015
 
Type Article
PeerReviewed
 
Format text
 
Language uk
english
 
Identifier http://eprints.zu.edu.ua/19290/1/Sevostyanov2015.pdf
Севостьянов, Е. А. (2015) The miniowitz and vuorinen theorems for the mappings with non-bounded characteristics. Israel journal of mathematics (209). pp. 527-545.