On boundary H\"{o}lder logarithmic continuity of mappings in some domains
Complex Variables
2023-04-04 v3
Abstract
We study mappings satisfying some estimate of distortion of modulus of families of paths. Under some conditions on definition and mapped domains, we have proved that these mappings are logarithmic H\"{o}lder continuous at boundary points.
Keywords
Cite
@article{arxiv.2302.02719,
title = {On boundary H\"{o}lder logarithmic continuity of mappings in some domains},
author = {Oleksandr Dovhopiatyi and Evgeny Sevost'yanov},
journal= {arXiv preprint arXiv:2302.02719},
year = {2023}
}