scholarly journals Volterra composition operators between weighted Bergman spaces and weighted Bloch type spaces

2010 ◽  
Vol 61 (1) ◽  
pp. 57-63 ◽  
Author(s):  
Elke Wolf
Keyword(s):  
Composition Operators ◽  
Bergman Spaces ◽  
Weighted Bergman Spaces ◽  
Type Spaces

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.

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 Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
Stevo Stević ◽  
Ajay K. Sharma ◽  
S. D. Sharma
Keyword(s):  
Half Plane ◽  
Composition Operators ◽  
Bergman Spaces ◽  
Weighted Bergman Space ◽  
Weighted Bergman Spaces ◽  
Weighted Composition Operators ◽  
Type Spaces ◽  
Weighted Composition ◽  
Upper Half Plane ◽  
Weighted Type

Letψbe a holomorphic mapping on the upper half-planeΠ+={z∈ℂ:Jz>0}andφbe a holomorphic self-map ofΠ+. We characterize bounded weighted composition operators acting from the weighted Bergman space to the weighted-type space on the upper half-plane. Under a mild condition onψ, we also characterize the compactness of these operators.

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