A New Essential Norm Estimate of Composition Operators from Weighted Bloch Space into -Bloch Spaces-Reference-Cited by-同舟云学术

A New Essential Norm Estimate of Composition Operators from Weighted Bloch Space into -Bloch Spaces

Published:2013 Issue: Volume:2013 Page:1-5
ISSN:0972-6802
Container-title:Journal of Function Spaces and Applications
language:en
Short-container-title:Journal of Function Spaces and Applications

Author:

Castillo René E.¹^ORCID,Ramos-Fernández Julio C.²^ORCID,Rojas Edixon M.³^ORCID

Affiliation:

1. Departamento de Matemáticas, Universidad Nacional de Colombia, AP 360354, Bogotá, Colombia

2. Departamento de Matemáticas, Universidad de Oriente, Cumaná 6101, Estado de Sucre, Venezuela

3. Departamento de Matemáticas, Pontificia Universidad Javeriana, Bogotá, Colombia

Abstract

Let be any weight function defined on the unit disk and let be an analytic self-map of . In the present paper, we show that the essential norm of composition operator mapping from the weighted Bloch space to -Bloch space is comparable to where for , is a certain special function in the weighted Bloch space. As a consequence of our estimate, we extend the results about the compactness of composition operators due to Tjani (2003).

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2013/817278.pdf

Reference17 articles.

1. Multipliers and cyclic vectors in the Bloch space.

2. Toeplitz and Hankel operators on Bergman one space

3. Monographs and Textbooks in Pure and Applied Mathematics,1990

4. Block Type Spaces of Analytic Functions

Cited by 9 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. Weighted composition operator on Gamma spaces with variable exponent;Journal of Pseudo-Differential Operators and Applications;2024-06-09

2. Norms of Composition Operators from Weighted Harmonic Bloch Spaces into Weighted Harmonic Zygmund Spaces;Journal of Function Spaces;2024-03-16

3. Composition Operators From Harmonic Lipschitz Space Into Weighted Harmonic Zygmund Space;International Journal of Analysis and Applications;2023-11-21

4. Composition operators from harmonic $ \mathcal{H}^{\infty} $ space into harmonic Zygmund space;AIMS Mathematics;2023

5. Weighted composition operator on the gamma spaces $$\Gamma _{X}(w)$$;Analysis and Mathematical Physics;2021-09-14