On convergence of a sequence of mappings with inverse modulus inequality to a discrete mapping
Complex Variables
2024-04-29 v1
Abstract
We have studied the mappings that satisfy the Poletsky-type inverse inequality in the domain of the Euclidean space. It is proved that the uniform boundary of the family of such mappings is a discrete mapping. We separately considered domains that are locally connected at their boundary and regular domains in the quasiconformal sense.
Keywords
Cite
@article{arxiv.2404.17060,
title = {On convergence of a sequence of mappings with inverse modulus inequality to a discrete mapping},
author = {E. O. Sevost'yanov and V. A. Targonskii},
journal= {arXiv preprint arXiv:2404.17060},
year = {2024}
}
Comments
in Ukrainian language