On harmonic Bloch spaces in the unit ball of $\mathbb{C}^n$

Authors

  • xiantao wang

Keywords:

Harmonic Bloch space, Little harmonic Bloch space,

Abstract

In this paper, our main aim is to discuss the properties of harmonic mappings in the unit ball $\mathbb{B}^n$. First, we characterize the harmonic Bloch spaces and the little harmonic Bloch spaces from $\mathbb{B}^n$ to $\mathbb{C}$ in terms of weighted Lipschitz functions, respectively. Then we prove the existence of Landau-Bloch constant for a class of vector-valued harmonic Bloch mappings from $\mathbb{B}^n$ to $\mathbb{C}^n$.

Published

2011-10-19

Issue

Vol. 84 No. 1 (2011)

Section

Articles
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