Boundedness from Below of Composition Operators on α-Bloch Spaces-Reference-Cited by-同舟云学术

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Boundedness from Below of Composition Operators on α-Bloch Spaces

Published:2008-06-01 Issue:2 Volume:51 Page:195-204
ISSN:0008-4395
Container-title:Canadian Mathematical Bulletin
language:en
Short-container-title:Can. math. bull.

Author:

Chen Huaihui,Gauthier Paul

Abstract

AbstractWe give a necessary and sufficient condition for a composition operator on an α-Bloch space with α ≥ 1 to be bounded below. This extends a known result for the Bloch space due to P. Ghatage, J. Yan, D. Zheng, and H. Chen.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 17 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. Harmonic Bloch Function Spaces and their Composition Operators;Kragujevac Journal of Mathematics;2024

2. Boundedness from below of composition operators between $L^p_a$ and $L^q_a$, between $L^p_a$ and the Hardy space $H^2$, between $L^p_a$ and Besov space;Journal of Mathematical Inequalities;2023

3. Extension of vector-valued functions and weak–strong principles for differentiable functions of finite order;Annals of Functional Analysis;2021-12-06

4. Lipschitz continuity of Bloch type mappings with respect to Bergman metric;Annales Academiae Scientiarum Fennicae Mathematica;2018-02

5. Composition operators on the Hardy-Hilbert space H-2 and model spaces K-circle minus;CONTEMP MATH;2016

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