Equivalent Moduli of Continuity, Bloch's Theorem for Pluriharmonic Mappings in $mathbb{B}^n$

Proceedings Mathematical Sciences

S Ponnusamy³  Sh Chen²  X Wang¹ 

[1] Department of Mathematics, Indian Institute of Technology Madras, Chennai 00 0, India$$;Department of Mathematics, Hunan Normal University, Changsha, Hunan 00, People’s Republic of China$$;Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, Hunan 00, People’s Republic of China$$

关键词: Pluriharmonic mapping;    Lipschitz-type space;    Bloch constant;    Schwarz’ lemma;    equivalent norm.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we first establish a Schwarz–Pick type theorem for pluriharmonic mappings and then we apply it to discuss the equivalent norms on Lipschitz-type spaces. Finally, we obtain several Landau’s and Bloch’s type theorems for pluriharmonic mappings.

【 授权许可】

Unknown