Characterizations of \(\alpha \)-Bloch functions on the unit ball without use of derivative
type: Item
instance of: scholarly article
title: Characterizations of \(\alpha \)-Bloch functions on the unit ball without use of derivative
zbMATH Open document ID: 1187.32004
published in: Science in China. Series A
publication date: 2009-12-07T00:00:00Z
review text: By introducing a distance \(L_{\alpha, t}(z, w)\) between \(z\) and \(w\), the author establishes some characterizations of \(\alpha\)-Bloch functions on the unit ball of \(\mathbb{C}^n\) without use of derivative, which are stronger, more precise and general than those obtained by Nowak and Zhao. In the proofs of the main results, it is important to give the estimation of the length of a curve under the metric \(F_z^\alpha(w)\) for any \(\alpha>0\).
Mathematics Subject Classification ID: 32A18
Mathematics Subject Classification ID: 32A37
zbMATH DE Number: 5643347
zbMATH Keywords: \(\alpha\)-Bloch function
zbMATH Keywords: unit ball
zbMATH Keywords: Bergman metric
zbMATH Keywords: biholomorphic mapping
author: Huaihui Chen
reviewed by: Pengyan Hu
MaRDI profile type: Publication
full work available at URL: s11425-008-0104-1
OpenAlex ID: W2038416158
cites work: Exact location of \(\alpha\)-Bloch spaces in \(L^p_a\) and \(H^p\) of a complex unit ball
cites work: Composition operators on \(\alpha\)-Bloch spaces of the unit ball
cites work: Weighted composition operators between \(\mu\)-Bloch spaces on the unit ball
cites work: Composition operators on μ-Bloch spaces
cites work: Q3958740
cites work: Bloch space and möbius invariant besov spaces on the unit ball of
cites work: Bloch space in the unit ball of $\mathbb {C}^{n}$
cites work: Criteria for membership of Bloch space and its subspace BMOA
cites work: A characterization of Bloch-type spaces on the unit ball of \(\mathbb C^n\)
cites work: Q5475185
DOI: 10.1007/S11425-008-0104-1
description: scientific article; zbMATH DE number 5643347