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/
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Title |
Theory of Moduli, Capacities, and Normal Families of Mappings Admitting Branching |
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Creator |
Sevost’yanov, Е. А.
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Subject |
Mathematical Analysis
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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. |
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Date |
2007
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Type |
Article
PeerReviewed |
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Format |
text
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Language |
uk
english |
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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. |
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