Bloch and Landau type theorems for pluriharmonic mappings
Complex Variables
2022-02-17 v1
Abstract
In this paper, we establish two new versions of Landau-type theorems for pluriharmonic mappings with a bounded distortion. Then using these results, we derive three Bloch-type theorems of pluriharmonic mappings, which improve the corresponding results of Chen and Gauthier.
Cite
@article{arxiv.2202.07918,
title = {Bloch and Landau type theorems for pluriharmonic mappings},
author = {Ming-Sheng Liu and Saminathan Ponnusamy},
journal= {arXiv preprint arXiv:2202.07918},
year = {2022}
}
Comments
12 pages; To appear in International Journal of Mathematics