On Poletsky type inequality for mappings of Riemannian surfaces
Complex Variables
2019-04-18 v3
Abstract
In this paper, we obtain upper estimates for the distortion of the modulus of families of paths under mappings of the Sobolev class, whose dilatation is locally integrable. As a consequence, theorems on the local and boundary behavior of the indicated mappings are obtained.
Keywords
Cite
@article{arxiv.1902.03397,
title = {On Poletsky type inequality for mappings of Riemannian surfaces},
author = {E. Sevost'yanov},
journal= {arXiv preprint arXiv:1902.03397},
year = {2019}
}
Comments
in Russian