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

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

2011-12-03

arxiv.org/abs/1112.0685v1

Mathematics

Complex Variables

The paper is with a journal

Scientific paper

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.

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