relation: http://eprints.zu.edu.ua/13810/
title: Equicontinuity of mappings quasiconformal in the mean  
creator: Севостьянов, Е. А.
creator: Рязанов, В.
subject: Математичний аналіз
description: 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 .
date: 2011
type: Стаття
type: PeerReviewed
format: text
language: uk
identifier: http://eprints.zu.edu.ua/13810/1/Ann_Acad_Sci_Fenn.pdf
identifier:   Севостьянов, Е. А., Рязанов, В.  (2011) Equicontinuity of mappings quasiconformal in the mean.  Annales Academiæ Scientiarum Fennicæ. Mathematica (36).  с. 231-244.      
language: english