ON THE CONVERGENCE OF MAPPINGS WITH k-FINITE DISTORTION.

We prove that a locally uniform limit of a sequence of homeomorphisms with finite k-distortion is also a mapping with finite k-distortion. We obtain also an estimation for the distortion coefficient of the limit mapping.

Bibliographic Details
Main Authors: Kudryavtseva N . A ., Vodopyanov S . K .
Format: Article
Language:English
Published: Petrozavodsk State University 2018-09-01
Series:Проблемы анализа
Subjects:
Online Access:http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=5511&lang=ru