On the boundary behavior of open discrete mappings with unbounded characteristic
Zhytomyr State University Library
Переглянути архів Інформація| Поле | Співвідношення | |
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http://eprints.zu.edu.ua/14119/
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| Title |
On the boundary behavior of open discrete mappings with unbounded characteristic
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| Creator |
Sevost’yanov, Е. А.
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| Subject |
Mathematical Analysis
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| Description |
We study the problem of extension of mappings f WD ! Rn; n � 2; to the boundary of a domain D: Under certain conditions imposed on a measurable function Q.x/; QWD ! �0;1�; and the boundaries of the domains D and D0 D f .D/; we show that an open discrete mapping f WD ! Rn; n � 2; with quasiconformality characteristic Q.x/ can be extended to the boundary @D by continuity. The obtained statements extend the corresponding Srebro’s result to mappings with bounded distortion. |
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| Publisher |
Springer US
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| Date |
2012-11
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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/14119/1/Sevostyanov_Izv_RAN.pdf
Sevost’yanov, Е. А. (2012) On the boundary behavior of open discrete mappings with unbounded characteristic. Ukrainian Mathematical Journal, 64 (6). pp. 979-984. ISSN 0041-5995 |
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