%A ?. ?. Sevost?yanov
%A Vladimir Ryazanov
%J Siberian Mathematical Journal
%T Equicontinuity of mean quasiconformal mappings
%X We establish the equicontinuity and normality of the families R? of ring Q(x)-homeomorphisms with integral-type restrictions - ?(Q(x))dm(x) < ? on a domain D ? Rn with n ? 2. The resulting conditions on ? 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 .
%N 3
%K equicontinuity, normal family, mean quasiconformal mapping, Sobolev class
%P 524-536
%V 52
%D 2011
%L zu214087