Equicontinuity of mappings quasiconformal in the mean
Zhytomyr State University Library
Переглянути архів Інформація| Поле | Співвідношення | |
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http://eprints.zu.edu.ua/13810/
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| Title |
Equicontinuity of mappings quasiconformal in the mean
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| Creator |
Севостьянов, Е. А.
Рязанов, В. |
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| Subject |
Mathematical Analysis
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| Description |
It is stated equicontinuity and normality of families R© of the so-called ring Q(x)- homeomorphisms with integral constraints of the type � ©(Q(x))dm(x) < 1 in a domain D ½ Rn; n ¸ 2. It is shown that the found conditions on the function © are not only sufficient but also necessary for equicontinuity and normality of such families of mappings. It is also given applications of these results to families of mappings in the Sobolev class 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/13810/1/Ann_Acad_Sci_Fenn.pdf
Севостьянов, Е. А. and Рязанов, В. (2011) Equicontinuity of mappings quasiconformal in the mean. Annales Academiæ Scientiarum Fennicæ. Mathematica (36). pp. 231-244. |
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