scholarly journals Essential norm of weighted composition followed and proceeded by differentiation operator from Bloch-type into Bers-type spaces

2021 ◽  
pp. 853-870
Author(s):  
Hamid Vaezi ◽  
Mohamad Naghlisar
Keyword(s):  
Essential Norm ◽  
Differentiation Operator ◽  
Type Spaces ◽  
Weighted Composition

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 Weighted Composition Operators from Besov Zygmund-Type Spaces into Zygmund-Type Spaces

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Xiangling Zhu ◽  
Nanhui Hu
Keyword(s):  
Composition Operators ◽  
Essential Norm ◽  
Weighted Composition Operators ◽  
Type Spaces ◽  
Weighted Composition

The boundedness, compactness, and essential norm of weighted composition operators from Besov Zygmund-type spaces into Zygmund-type spaces are investigated in this paper.

scholarly journals Inequalities Involving Essential Norm Estimates of Product-Type Operators

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Manisha Devi ◽  
Ajay K. Sharma ◽  
Kuldip Raj
Keyword(s):  
Analytic Function ◽  
Holomorphic Function ◽  
Weighted Composition Operator ◽  
Essential Norm ◽  
Open Unit ◽  
Open Unit Disk ◽  
Norm Estimates ◽  
Type Spaces ◽  
Weighted Composition ◽  
Dirichlet Type Spaces

Consider an open unit disk D = z ∈ ℂ : z < 1 in the complex plane ℂ , ξ a holomorphic function on D , and ψ a holomorphic self-map of D . For an analytic function f , the weighted composition operator is denoted and defined as follows: W ξ , ψ f z = ξ z f ψ z . We estimate the essential norm of this operator from Dirichlet-type spaces to Bers-type spaces and Bloch-type spaces.

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.

scholarly journals Weighted composition operators in weighted Banach spaces of analytic functions

2000 ◽  
Vol 69 (1) ◽  
pp. 41-60 ◽  
Author(s):  
M. D. Contreras ◽  
A. G. Hernandez-Diaz
Keyword(s):  
Banach Spaces ◽  
Analytic Functions ◽  
Composition Operators ◽  
Weighted Composition Operator ◽  
Essential Norm ◽  
Weighted Composition Operators ◽  
Type Spaces ◽  
Weighted Composition ◽  
Weighted Banach Spaces ◽  
Spaces Of Analytic Functions

AbstractWe characterize the boundedness and compactness of weighted composition operators between weighted Banach spaces of analytic functions and . we estimate the essential norm of a weighted composition operator and compute it for those Banach spaces which are isomorphic to c0. We also show that, when such an operator is not compact, it is an isomorphism on a subspace isomorphic to c0 or l∞. Finally, we apply these results to study composition operators between Bloch type spaces and little Bloch type spaces.

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