Zhytomyr State University Library: No conditions. Results ordered -Date Deposited.
2022-11-27T05:28:46Z
EPrints
http://eprints.zu.edu.ua/images/logo2.gif
http://eprints.zu.edu.ua/
2014-11-10T08:47:05Z
2015-08-15T09:59:58Z
http://eprints.zu.edu.ua/id/eprint/13810
This item is in the repository with the URL: http://eprints.zu.edu.ua/id/eprint/13810
2014-11-10T08:47:05Z
Equicontinuity of mappings quasiconformal in the mean
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 .
Е. А. Севостьянов
В. Рязанов