Bloch and Landau type theorems for pluriharmonic mappings-Reference-Cited by-同舟云学术

Bloch and Landau type theorems for pluriharmonic mappings

Published:2022-06 Issue:07 Volume:33 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Liu Ming-Sheng¹,Ponnusamy Saminathan²³

Affiliation:

1. School of Mathematical Sciences, South China Normal University, Guangzhou, Guangdong 510631, P. R. China

2. Department of Mathematics, Indian Institute of Technology Madras, Chennai 600036, India

3. Department of Mathematics, Petrozavodsk State University, ul., Lenina 33, 185910 Petrozavodsk, Russia

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.

Funder

Guangdong Natural Science Foundation

Department of Science and Technology (DST), India

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X22500537

Reference21 articles.

1. Harmonic Maps and Ideal Fluid Flows

2. The Landau theorem and Bloch theorem for planar harmonic and pluriharmonic mappings

3. Bloch constants for planar harmonic mappings

4. COEFFICIENT ESTIMATES, LANDAU’S THEOREM AND LIPSCHITZ-TYPE SPACES ON PLANAR HARMONIC MAPPINGS

5. Properties of Some Classes of Planar Harmonic and Planar Biharmonic Mappings

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