scholarly journals A New Characterization of Generalized Weighted Composition Operators from the Bloch Space into the Zygmund Space

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Hao Li ◽  
Xiaohong Fu
Keyword(s):  
Composition Operators ◽  
Bloch Space ◽  
Weighted Composition Operators ◽  
Zygmund Space ◽  
Weighted Composition ◽  
New Criterion ◽  
Generalized Weighted Composition Operators

A new criterion for the boundedness and the compactness of the generalized weighted composition operators from the Bloch space into the Zygmund space is given in this paper.

scholarly journals Weighted Composition Operators from the Bloch Space and the Analytic Besov Spaces into the Zygmund Space

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Flavia Colonna ◽  
Songxiao Li
Keyword(s):  
Composition Operator ◽  
Besov Spaces ◽  
Composition Operators ◽  
Bloch Space ◽  
Weighted Composition Operators ◽  
Zygmund Space ◽  
Weighted Composition ◽  
Special Case

We provide several characterizations of the bounded and the compact weighted composition operators from the Bloch space and the analytic Besov spaces (with ) into the Zygmund space . As a special case, we show that the bounded (resp., compact) composition operators from , , and to coincide. In addition, the boundedness and the compactness of the composition operator can be characterized in terms of the boundedness (resp., convergence to 0, under the boundedness assumption of the operator) of the Zygmund norm of the powers of the symbol.

scholarly journals Essential norm of weighted composition operators from the Bloch space and the Zygmund space to the Bloch space

Filomat ◽  
2018 ◽  
Vol 32 (2) ◽  
pp. 681-691 ◽  
Author(s):  
Qinghua Hu ◽  
Songxiao Li
Keyword(s):  
Composition Operators ◽  
Bloch Space ◽  
Essential Norm ◽  
Weighted Composition Operators ◽  
Zygmund Space ◽  
Weighted Composition

In this paper, we give some estimates for the essential norm of weighted composition operators from the Bloch space and the Zygmund space to the Bloch space.

scholarly journals Generalized weighted composition operators from H∞ to the logarithmic Bloch space

Filomat ◽  
2016 ◽  
Vol 30 (14) ◽  
pp. 3867-3874
Author(s):  
Xiangling Zhu
Keyword(s):  
Analytic Function ◽  
Composition Operators ◽  
Bloch Space ◽  
Weighted Composition Operators ◽  
Bounded Analytic Function ◽  
Weighted Composition ◽  
Generalized Weighted Composition Operators

In this paper, we give three different characterizations for the boundedness and compactness of generalized weighted composition operators from the space of bounded analytic function to the logarithmic Bloch space.

scholarly journals Invertible Weighted Composition Operators on the Fock Space ofCN

2015 ◽  
Vol 2015 ◽  
pp. 1-5 ◽  
Author(s):  
Liankuo Zhao
Keyword(s):  
Fock Space ◽  
Composition Operators ◽  
Complete Characterization ◽  
Weighted Composition Operators ◽  
Weighted Composition

We give a complete characterization of bounded invertible weighted composition operators on the Fock space ofCN.

Sign in / Sign up

Export Citation Format

Share Document