On convergence and compactness of spatial homeomorphisms
Zhytomyr State University Library
Переглянути архів Інформація| Поле | Співвідношення | |
| Relation |
http://eprints.zu.edu.ua/13998/
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| Title |
On convergence and compactness of spatial homeomorphisms
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| Creator |
Sevost’yanov, Е. А.
Ryazanov, Vladimir |
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| Subject |
Mathematical Analysis
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| Description |
Various theorems on convergence of general space 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 was established by us that a family of all ring Q-homeomorphisms f in Rn �xing two points is compact provided that the function Q is of �nite mean oscillation. These results will have broad applications to Sobolev's mappings. |
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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/13998/1/Rrc13_1.pdf
Sevost’yanov, Е. А. and Ryazanov, Vladimir (2013) On convergence and compactness of spatial homeomorphisms. ROMANIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 18 (1). pp. 85-104. |
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