Koebe and Carathe\'odory type boundary behavior results for harmonic mappings
Complex Variables
2020-05-06 v1
Abstract
We study the behavior of the boundary function of a harmonic mapping from global and local points of view. Results related to the Koebe lemma are proved, as well as a generalization of a boundary behavior theorem by Bshouty, Lyzzaik and Weitsman. We also discuss this result from a different point of view, from which a relation between the boundary behavior of the dilatation at a boundary point and the continuity of the boundary function of our mapping can be seen.
Keywords
Cite
@article{arxiv.2005.02101,
title = {Koebe and Carathe\'odory type boundary behavior results for harmonic mappings},
author = {Daoud Bshouty and Jiaolong Chen and Stavros Evdoridis and Antti Rasila},
journal= {arXiv preprint arXiv:2005.02101},
year = {2020}
}
Comments
13 pages, 1 figure