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

SH. Chen; S. Ponnusamy; X. Wang

arxiv: 1112.0685 · v1 · pith:WN6B2OX3new · submitted 2011-12-03 · 🧮 math.CV

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

SH. Chen , S. Ponnusamy , X. Wang This is my paper

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keywords mappingspluriharmonicblochequivalenttheoremtypeapplycontinuity

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

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