ON HARMONIC BLOCH SPACES IN THE UNIT BALL OF ℂn-Reference-Cited by-同舟云学术

ON HARMONIC BLOCH SPACES IN THE UNIT BALL OF ℂn

Published:2011-06-10 Issue:1 Volume:84 Page:67-78
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

CHEN SH.,WANG X.

Abstract

AbstractIn this paper, our main aim is to discuss the properties of harmonic mappings in the unit ball 𝔹n. First, we characterize the harmonic Bloch spaces and the little harmonic Bloch spaces from 𝔹n to ℂ in terms of weighted Lipschitz functions. Then we prove the existence of a Landau–Bloch constant for a class of vector-valued harmonic Bloch mappings from 𝔹n to ℂn.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference17 articles.

1. [4] Chen Sh. , Ponnusamy S. and Wang X. , ‘Landau’s theorem and Marden constant for harmonic ν-Bloch mappings’, Bull. Aust. Math. Soc. (2011), accepted.

2. On one-to-one harmonic mappings

3. Bloch functions of several complex variables

4. Coefficient estimates and Landau’s theorem for planar harmonic mappings;Chen;Bull. Malays. Math. Sci. Soc.,2011

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