relation: http://eprints.zu.edu.ua/14087/
title: Equicontinuity of mean quasiconformal mappings
creator: Sevost’yanov, Е. А.
creator: Ryazanov, Vladimir
subject: Математичний аналіз
description: 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 .
date: 2011
type: Стаття
type: PeerReviewed
format: text
language: uk
identifier: http://eprints.zu.edu.ua/14087/1/SMJ_1.pdf
identifier:   Sevost’yanov, Е. А., Ryazanov, Vladimir  (2011) Equicontinuity of mean quasiconformal mappings.  Siberian Mathematical Journal, 52 (3).  с. 524-536.      
language: english