%0 Journal Article
%A Sevost’yanov, Е. А.
%A Ryazanov, Vladimir
%D 2011
%F zu2:14087
%J Siberian Mathematical Journal
%K equicontinuity, normal family, mean quasiconformal mapping, Sobolev class
%N 3
%P 524-536
%T Equicontinuity of mean quasiconformal mappings
%U http://eprints.zu.edu.ua/14087/
%V 52
%X 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 .