Authors
Shao Lin Chen, Saminathan Ponnusamy, Antti Rasila, Xian Tao Wang
Publication date
2016/3
Journal
Acta Mathematica Sinica, English Series
Volume
32
Issue
3
Pages
297-308
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Description
In this paper, we first establish a Schwarz–Pick lemma for higher-order derivatives of planar harmonic mappings, and apply it to obtain univalency criteria. Then we discuss distortion theorems, Lipschitz continuity and univalency of planar harmonic mappings defined in the unit disk with linearly connected images.
Scholar articles
SL Chen, S Ponnusamy, A Rasila, XT Wang - Acta Mathematica Sinica, English Series, 2016