Some characterizations of the Besov space and the \(\alpha \)-Bloch space
type: Item
instance of: scholarly article
title: Some characterizations of the Besov space and the \(\alpha \)-Bloch space
zbMATH Open document ID: 1156.32002
author: Songxiao Li
author: Stevo Stević
published in: Journal of Mathematical Analysis and Applications
publication date: 2008-07-21T00:00:00Z
review text: The authors give some characterizations of Besov spaces and \(\alpha\)-Bloch spaces on the unit ball of \({\mathbb{C}}^n\) by multiple integral, which extend some results in the settings of the unit disk. In addition, a coefficient characterization of the \(\alpha\)-Bloch space is given.
Mathematics Subject Classification ID: 32A37
Mathematics Subject Classification ID: 32A10
Mathematics Subject Classification ID: 32A18
zbMATH DE Number: 5303211
zbMATH Keywords: Besov space
zbMATH Keywords: \(\alpha\)-Bloch space
zbMATH Keywords: invariant measure
zbMATH Keywords: invariant gradient
reviewed by: Pengyan Hu
MaRDI profile type: Publication
full work available at URL: j.jmaa.2008.05.044
OpenAlex ID: W2035043527
cites work: Q5756894
cites work: Norm equivalence and composition operators between Bloch/Lipschitz spaces of the ball
cites work: Möbius invariant besov p-spaces and hankel operators in the bergman space on the ball in C n
cites work: A characterization of Bloch space and Besov space
cites work: A CHARACTERIZATION OF BLOCH FUNCTIONS
cites work: Higher radial derivative of Bloch type functions
cites work: Q5393705
cites work: Riemann–Stieltjes-type integral operators on the unit ball in
cites work: Q5491265
cites work: Characterizations of \(\alpha \)-Bloch spaces on the unit ball
cites work: Q4354138
cites work: Bloch space and möbius invariant besov spaces on the unit ball of
cites work: Characterizations of Bergman Spaces and Bloch Space in the Unit Ball of C n
cites work: Q5447178
cites work: Bloch space in the unit ball of $\mathbb {C}^{n}$
cites work: Q3958740
cites work: On an integral operator on the unit ball in \(\mathbb{C}^n\)
cites work: Boundedness and compactness of an integral operator on a weighted space on the polydisc
cites work: Besov-type characterisations for the Bloch space
cites work: The Bloch space and Besov spaces of analytic functions
cites work: Bloch Functions in Several Complex Variables, I
cites work: Bloch functions in several complex variables. II.
cites work: Q4855754
cites work: Q4388290
cites work: Analytic Besov spaces
cites work: Spaces of Holomorphic Functions in the Unit Ball
DOI: 10.1016/J.JMAA.2008.05.044
description: scientific article; zbMATH DE number 5303211