eprintid: 13931 rev_number: 12 eprint_status: archive userid: 3588 dir: disk0/00/01/39/31 datestamp: 2014-11-12 08:18:53 lastmod: 2015-08-15 10:10:43 status_changed: 2014-11-12 08:18:53 type: article metadata_visibility: show title: Distortion estimates under mappings with controlled p-module language: english abstract: We study open discrete mappings preserving integrally quasiinvariant the weighted p-module and provide conditions ensuring the local H�older continuity of such mappings with respect to euclidian distances and to their logarithms. The inequalities de�ning the continuity are sharp with respect to the order. keywords: p-module, mappings with bounded and �nite distortion, Q-mappings, lipschitz mappings, H�older continuity, equicontinuity, Orlicz-Sobolev classes. creators_name: Sevost’yanov, Е. А. creators_name: Salіmov, R. R. creators_name: Golberg, А. ispublished: pub subjects: QA77 divisions: sch_man full_text_status: public date: 2014 publication: Annals of the University of Bucharest volume: 5 number: 1 pagerange: 95-114 refereed: TRUE citation: Sevost’yanov, Е. А., Salіmov, R. R., Golberg, А. (2014) Distortion estimates under mappings with controlled p-module. Annals of the University of Bucharest, 5 (1). с. 95-114. document_url: http://eprints.zu.edu.ua/13931/1/golberg_salimov_sevostyanov.pdf