eprintid: 13810
rev_number: 13
eprint_status: archive
userid: 3588
dir: disk0/00/01/38/10
datestamp: 2014-11-10 08:47:05
lastmod: 2015-08-15 09:59:58
status_changed: 2014-11-10 08:47:05
type: article
metadata_visibility: show
title: Equicontinuity of mappings quasiconformal in the mean

language: english
abstract: 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 .
creators_name: Севостьянов, Е. А.
creators_name: Рязанов, В.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2011
publication: Annales Academiæ Scientiarum Fennicæ. Mathematica
number: 36
pagerange: 231-244
refereed: TRUE
citation:   Севостьянов, Е. А., Рязанов, В.  (2011) Equicontinuity of mappings quasiconformal in the mean.  Annales Academiæ Scientiarum Fennicæ. Mathematica (36).  с. 231-244.      
document_url: http://eprints.zu.edu.ua/13810/1/Ann_Acad_Sci_Fenn.pdf