On equicontinuity of mappings in a case of variable domains
Complex Variables
2017-01-18 v1
Abstract
We study a local behavior of one class of mappings, which are defined in a domain of -measured Euclidean space, in a case, when corresponding images of this domain are variable. Under some conditions on a function defining a behavior of mappings mentioned above, and some restrictions on mapped domains, the equicontinuity of the corresponding family of the mappings in the closure of the initial domain is proved.
Cite
@article{arxiv.1701.04461,
title = {On equicontinuity of mappings in a case of variable domains},
author = {E. A. Sevost'yanov and S. A. Skvortsov},
journal= {arXiv preprint arXiv:1701.04461},
year = {2017}
}
Comments
in Russian