@article{zu214087, volume = {52}, number = {3}, title = {Equicontinuity of mean quasiconformal mappings}, author = {?. ?. Sevost?yanov and Vladimir Ryazanov}, year = {2011}, pages = {524--536}, journal = {Siberian Mathematical Journal}, keywords = {equicontinuity, normal family, mean quasiconformal mapping, Sobolev class}, url = {http://eprints.zu.edu.ua/14087/}, abstract = {We establish the equicontinuity and normality of the families R{\ensuremath{\Phi}} of ring Q(x)-homeomorphisms with integral-type restrictions - {\ensuremath{\Phi}}(Q(x))dm(x) {\ensuremath{<}} ? on a domain D ? Rn with n ? 2. The resulting conditions on {\ensuremath{\Phi}} 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 .} }