Isolated singularities of mappings with the inverse Poletski inequality
Complex Variables
2020-04-30 v1
Abstract
We study open-closed discrete mappings that satisfy the weighted estimate of the distortion of modulus of families of paths. It is proved that the mappings mentioned above have a continuous extension into the isolated point of the boundary, provided that the corresponding weight function is integrable, and the cluster set of the mapping at a given point belongs to the boundary of the image under the mapping
Keywords
Cite
@article{arxiv.2004.14317,
title = {Isolated singularities of mappings with the inverse Poletski inequality},
author = {Evgeny Sevost'yanov},
journal= {arXiv preprint arXiv:2004.14317},
year = {2020}
}
Comments
in Ukrainian