Besov-type characterisations for the Bloch space-Reference-Cited by-同舟云学术

Besov-type characterisations for the Bloch space

Published:1989-06 Issue:3 Volume:39 Page:405-420
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Stroethoff Karel

Abstract

We will prove local and global Besov-type characterisations for the Bloch space and the little Bloch space. As a special case we obtain that the Bloch space consists of those analytic functions on the unit disc whose restrictions to pseudo-hyperbolic discs (of fixed pseudo-hyperbolic radius) uniformly belong to the Besov space. We also generalise the results to Bloch functions and little Bloch functions on the unit ball in . Finally we discuss the related spaces BMOA and VMOA.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. Möbius invariant function spaces;Arazy;J. Reine Ang. Math.,1985

2. Bloch Functions in Several Complex Variables, I

3. The Bergman space, the Bloch space, and commutators of multiplication operators

4. On Bloch functions and normal functions;Anderson;J. Reine Ang. Math.,1974

5. Some aspects of the minimal, Möbiusinvariant space of analytic functions on the unit disc

Cited by 64 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Note on Lavie Derivative;Pure Mathematics;2024

2. On Characterizations of Weighted Harmonic Bloch Mappings and Its Carleson Measure Criteria;Journal of Function Spaces;2023-02-13

3. Generalized integration operators from weighted Bergman spaces into general function spaces;Mathematical Inequalities & Applications;2023

4. General weighted class of quaternion-valued functions with lacunary series expansions;Afrika Matematika;2022-06-01

5. Characterizations of Integral Type for Weighted Classes of Analytic Banach Function Spaces;Journal of Mathematics;2022-01-28