Essential Norm of Weighted Composition Operators From $$H^\infty $$ to nth Weighted Type Spaces

2019 ◽  
Vol 16 (5) ◽  
Author(s):  
Ebrahim Abbasi ◽  
Hamid Vaezi ◽  
Songxiao Li
Keyword(s):  
Composition Operators ◽  
Essential Norm ◽  
Weighted Composition Operators ◽  
Type Spaces ◽  
Weighted Composition ◽  
Weighted Type

scholarly journals Weighted Composition Operators from Derivative Hardy Spaces into n -th Weighted-Type Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Nanhui Hu
Keyword(s):  
Hardy Spaces ◽  
Composition Operators ◽  
Essential Norm ◽  
Weighted Composition Operators ◽  
Type Spaces ◽  
Weighted Composition ◽  
Weighted Type

The boundedness, compactness, and the essential norm of weighted composition operators from derivative Hardy spaces into n -th weighted-type spaces are investigated in this paper.

Estimates of essential norm of generalized weighted composition operators from Bloch type spaces to nth weighted type spaces

2020 ◽  
Vol 70 (1) ◽  
pp. 71-80
Author(s):  
Ebrahim Abbasi ◽  
Hamid Vaezi
Keyword(s):  
Composition Operators ◽  
Essential Norm ◽  
Weighted Composition Operators ◽  
Type Spaces ◽  
Weighted Composition ◽  
Generalized Weighted Composition Operators ◽  
Weighted Type

AbstractIn this paper, we give several characterizations for boundedness, essential norm and compactness of generalized weighted composition operators from Bloch type spaces to nth weighted 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.

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