Equicontinuity of mappings quasiconformal in the mean

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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Abstract

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 .

Item Type: Article
Subjects: Q Science > QA Mathematics > Mathematical Analysis
Divisions: Faculty of Physics and Mathematics > Department of Mathematical Analysis
Depositing User: Ірина Ігорівна Таргонська
Date Deposited: 10 Nov 2014 08:47
Last Modified: 15 Aug 2015 09:59
URI: http://eprints.zu.edu.ua/id/eprint/13810

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