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

SH. Chen; S. Ponnusamy; X. Wang

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arXiv · 1112.0685

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

SH. Chen·S. Ponnusamy·X. Wang

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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.

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BibTeX RIS

SH. Chen, S. Ponnusamy, X. Wang. 2011-12-03. Equivalent moduli of continuity, Bloch's theorem for pluriharmonic mappings in $\mathbb{B}^{n}$. https://arxiv.org/abs/1112.0685

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