Equicontinuity of mean quasiconformal mappings
Zhytomyr State University Library
Переглянути архів Інформація| Поле | Співвідношення | |
| Relation |
http://eprints.zu.edu.ua/14087/
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| Title |
Equicontinuity of mean quasiconformal mappings
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| Creator |
Sevost’yanov, Е. А.
Ryazanov, Vladimir |
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| Subject |
Mathematical Analysis
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| Description |
We establish the equicontinuity and normality of the families RΦ of ring Q(x)-homeomorphisms with integral-type restrictions - Φ(Q(x))dm(x) < ∞ on a domain D ⊂ Rn with n ≥ 2. The resulting conditions on Φ are not only sufficient but also necessary for the equicontinuity and normality of these families of mappings. We give some applications of these results to the Sobolev classes W1,n loc . |
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| Date |
2011
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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/14087/1/SMJ_1.pdf
Sevost’yanov, Е. А. and Ryazanov, Vladimir (2011) Equicontinuity of mean quasiconformal mappings. Siberian Mathematical Journal, 52 (3). pp. 524-536. |
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