eprintid: 14087
rev_number: 12
eprint_status: archive
userid: 3588
dir: disk0/00/01/40/87
datestamp: 2014-11-20 09:34:01
lastmod: 2015-08-15 10:24:31
status_changed: 2014-11-20 09:34:01
type: article
metadata_visibility: show
title: Equicontinuity of mean quasiconformal mappings
language: english
abstract: 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 .
keywords: equicontinuity, normal family, mean quasiconformal mapping, Sobolev class
creators_name: Sevost’yanov, Е. А.
creators_name: Ryazanov, Vladimir
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2011
publication: Siberian Mathematical Journal
volume: 52
number: 3
pagerange: 524-536
refereed: TRUE
citation:   Sevost’yanov, Е. А., Ryazanov, Vladimir  (2011) Equicontinuity of mean quasiconformal mappings.  Siberian Mathematical Journal, 52 (3).  с. 524-536.      
document_url: http://eprints.zu.edu.ua/14087/1/SMJ_1.pdf