Distortion and covering theorems of pluriharmonic mappings

Author:

Chen Shaolin1,Ponnusamy Saminathan2

Affiliation:

1. Soochow University, Department of Mathematics, Suzhou, Jiangsu, People’s Republic of China + Hengyang Normal University, College of Mathematics and Statistics, Hengyang, Hunan, People’s Republic of China

2. Indian Statistical Institute (ISI), Chennai Centre, SETS (Society for Electronic Transactions and security), MGR Knowledge City, CIT Campus, Taramani, Chennai, India

Abstract

The linear-invariant families of analytic functions make it possible to obtain well-known results to broader classes of functions, and are often helpful in obtaining simpler proofs along with new results. Based on this classical approach due to Pommerenke, properties (such as bounds for the derivative, covering and distortion) of a corresponding class of locally quasiconformal and planar harmonic mappings are established by Starkov. Motivated by these works, in this paper, we mainly investigate distortion and covering theorems on some classes of pluriharmonic mappings.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Schwarz type lemmas and their applications in Banach spaces;Journal d'Analyse Mathématique;2023-07-18

2. Pluriharmonic Mappings with the Convex Holomorphic Part;Journal of Mathematics;2022-12-28

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