scholarly journals Essential Norm of Difference of Composition Operators from Weighted Bergman Spaces to Bloch-Type Spaces

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Ram Krishan ◽  
Mehak Sharma ◽  
Ajay K. Sharma
Keyword(s):  
Lower Bounds ◽  
Composition Operators ◽  
Bergman Spaces ◽  
Essential Norm ◽  
Upper And Lower Bounds ◽  
Weighted Bergman Spaces ◽  
Type Spaces ◽  
Difference Of Composition Operators

We compute upper and lower bounds for essential norm of difference of composition operators acting from weighted Bergman spaces to Bloch-type spaces.

scholarly journals Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé Weights

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Elina Subhadarsini ◽  
Ajay K. Sharma
Keyword(s):  
Weight Function ◽  
Lower Bounds ◽  
Composition Operators ◽  
Weighted Composition Operator ◽  
Bergman Spaces ◽  
Essential Norm ◽  
Normal Weight ◽  
Upper And Lower Bounds ◽  
Weighted Bergman Spaces ◽  
Weighted Composition

Let σ be a weight function such that σ / 1 − z 2 α is in the class B p 0 α of Békollé weights, μ a normal weight function, ψ a holomorphic map on D , and φ a holomorphic self-map on D . In this paper, we give upper and lower bounds for essential norm of weighted composition operator W ψ , φ acting from weighted Bergman spaces A p σ to Bloch-type spaces B μ .

Weighted composition operators on weighted Bergman spaces induced by doubling weights

2020 ◽  
Vol 126 (3) ◽  
pp. 519-539
Author(s):  
Juntao Du ◽  
Songxiao Li ◽  
Yecheng Shi
Keyword(s):  
Composition Operators ◽  
Bergman Spaces ◽  
Essential Norm ◽  
Weighted Bergman Spaces ◽  
Weighted Composition Operators ◽  
Schatten Class ◽  
Doubling Weight ◽  
Doubling Weights ◽  
Type Spaces ◽  
Weighted Composition

In this paper, we investigate the boundedness, compactness, essential norm and the Schatten class of weighted composition operators $uC_\varphi $ on Bergman type spaces $A_\omega ^p $ induced by a doubling weight ω. Let $X=\{u\in H(\mathbb{D} ): uC_\varphi \colon A_\omega ^p\to A_\omega ^p\ \text {is bounded}\}$. For some regular weights ω, we obtain that $X=H^\infty $ if and only if ϕ is a finite Blaschke product.

An upper bound of the essential norm of composition operators between weighted bergman spaces

2014 ◽  
Vol 34 (4) ◽  
pp. 1145-1156
Author(s):  
Zhihua CHEN ◽  
Liangying JIANG ◽  
Qiming YAN
Keyword(s):  
Upper Bound ◽  
Composition Operators ◽  
Bergman Spaces ◽  
Essential Norm ◽  
Weighted Bergman Spaces
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