On Convergence Analysis of Space Homeomorphisms
Zhytomyr State University Library
Переглянути архів Інформація| Поле | Співвідношення | |
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http://eprints.zu.edu.ua/14096/
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| Title |
On Convergence Analysis of Space Homeomorphisms
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| Creator |
Sevost’yanov, Е. А.
Salіmov, R. R. Ryazanov, Vladimir |
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| Subject |
Mathematical Analysis
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| Description |
Abstract—Various theorems on convergence of general spatial homeomorphisms are proved and, on this basis, theorems on convergence and compactness for classes of the so-called ring Q-homeomorphisms are obtained. In particular, it is established that a family of all ringQ-homeomorphisms f in Rn fixing two points is compact provided that the function Q is of finite mean oscillation. The corresponding applications have been given to mappings in the Sobolev classes W1,p loc for the case p > n− 1. |
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| Publisher |
Allerton Press
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| Date |
2013
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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/14096/1/SBAM263.pdf
Sevost’yanov, Е. А. and Salіmov, R. R. and Ryazanov, Vladimir (2013) On Convergence Analysis of Space Homeomorphisms. Siberian Advances in Mathematics, 23 (4). pp. 263-293. ISSN 1055-1344 |
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