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On the openness and discreteness of mappings with unbounded characteristic of quasiconformality

Zhytomyr State University Library

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Relation http://eprints.zu.edu.ua/13834/
 
Title On the openness and discreteness of mappings with unbounded characteristic of quasiconformality
 
Creator Sevost’yanov, Е. А.
 
Subject Mathematical Analysis
 
Description The paper is devoted to the investigation of topological properties of space mappings. It is shown that orientation-
preserving mappings f WD ! Rn in a domain D � Rn; n � 2; which are more general than
mappings with bounded distortion, are open and discrete if a function Q corresponding to the control of
the distortion of families of curves under these mappings has slow growth in the domain f .D/; e.g., if
Q has finite mean oscillation at an arbitrary point y0 2 f .D/:
 
Publisher Springer US
 
Date 2012
 
Type Article
PeerReviewed
 
Format text
 
Language uk
english
 
Identifier http://eprints.zu.edu.ua/13834/1/UMJ_10.pdf
Sevost’yanov, Е. А. (2012) On the openness and discreteness of mappings with unbounded characteristic of quasiconformality. Ukrainian Mathematical Journal, 63 (8). pp. 1298-1305. ISSN 0041-5995