Equivalent moduli of continuity, Bloch's theorem for pluriharmonic mappings in ${\mathbb{B}}^n$

Abstract

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.

arXiv commentThe paper is with a journal