Linear connectivity, Schwarz-Pick lemma and univalency criteria for planar harmonic mappings
Complex Variables
2014-04-17 v1
Abstract
In this paper, we first establish the Schwarz-Pick lemma of higher-order and apply it to obtain a univalency criteria for planar harmonic mappings. Then we discuss distortion theorems, Lipschitz continuity and univalency of planar harmonic mappings defined in the unit disk with linearly connected images.
Keywords
Cite
@article{arxiv.1404.4155,
title = {Linear connectivity, Schwarz-Pick lemma and univalency criteria for planar harmonic mappings},
author = {Shaolin Chen and Saminathan Ponnusamy and Antti Rasila and Xiantao Wang},
journal= {arXiv preprint arXiv:1404.4155},
year = {2014}
}
Comments
12 pages