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Theory of Moduli, Capacities, and Normal Families of Mappings Admitting Branching

Zhytomyr State University Library

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Relation http://eprints.zu.edu.ua/13854/
 
Title Theory of Moduli, Capacities,
and Normal Families of Mappings
Admitting Branching
 
Creator Sevost’yanov, Е. А.
 
Subject Mathematical Analysis
 
Description In this paper, we study Q-mappings that admit branching
points, and which are space mappings satisfying moduli inequalities. We
prove that a family of open discrete ring Q-mappings, which omit a set of
positive capacity, is normal under the condition that Q has finite mean
oscillation in every point, or has only logarithmic singularities of order
not greater than n − 1.
 
Date 2007
 
Type Article
PeerReviewed
 
Format text
 
Language uk
english
 
Identifier http://eprints.zu.edu.ua/13854/1/UMB_1.pdf
Sevost’yanov, Е. А. (2007) Theory of Moduli, Capacities, and Normal Families of Mappings Admitting Branching. Ukrainian Mathematical Bulletin, 4 (4). pp. 573-593.