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). pp. 95-114.
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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.
| Item Type: | Article |
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| Uncontrolled Keywords: | p-module, mappings with bounded and �nite distortion, Q-mappings, lipschitz mappings, H�older continuity, equicontinuity, Orlicz-Sobolev classes. |
| Subjects: | Q Science > QA Mathematics > Mathematical Analysis |
| Divisions: | Faculty of Physics and Mathematics > Department of Mathematical Analysis, Business Analysis and Statistics |
| Depositing User: | Ірина Ігорівна Таргонська |
| Date Deposited: | 12 Nov 2014 08:18 |
| Last Modified: | 15 Aug 2015 10:10 |
| URI: | http://eprints.zu.edu.ua/id/eprint/13931 |
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