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Fredholm Weighted Composition Operator on Weighted Hardy Space [PDF]

Journal of Function Spaces and Applications, 2013
This paper gives a unified characterization of Fredholm weighted composition operator on a class of weighted Hardy spaces.
Liankuo Zhao
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Weighted Composition Operators from Hardy to Zygmund Type Spaces [PDF]

Abstract and Applied Analysis, 2013
This paper aims at studying the boundedness and compactness of weighted composition operator between spaces of analytic functions. We characterize boundedness and compactness of the weighted composition operator from the Hardy spaces to the Zygmund ...
Shanli Ye, Zhengyuan Zhuo
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Isometric multiplication operators and weighted composition operators of BMOA

Journal of Inequalities and Applications, 2021
Let u be an analytic function in the unit disk D $\mathbb{D}$ and φ be an analytic self-map of D $\mathbb{D}$ . We give characterizations of the symbols u and φ for which the multiplication operator M u $M_{u}$ and the weighted composition operator M u ,
Ligang Geng
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A class of operator related weighted composition operators between Zygmund space [PDF]

AUT Journal of Mathematics and Computing, 2021
Let $\mathbb {D}$ be the open unit disk in the complex plane $\mathbb{C}$ and $H(\mathbb{D})$ be the set of all analytic functions on $\mathbb{D}$. Let $u, v\in H(\mathbb{D})$ and $\varphi$ be an analytic self-map of $\mathbb{D}$.
Ebrahim Abbasi
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Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces [PDF]

Sahand Communications in Mathematical Analysis, 2020
‎In this paper, we provide a complete description of weighted composition operators between extended Lipschitz algebras on compact metric spaces. We give necessary and sufficient conditions for the injectivity and the sujectivity of these operators.
Reyhaneh Bagheri, Davood Alimohammadi
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Closed range weighted composition operators between L^{p}-spaces [PDF]

Opuscula Mathematica, 2021
We characterize the closedness of ranges of weighted composition operators between \(L^p\)-spaces, where \(1 \leq p \leq \infty\). When the \(L^p\)-spaces are weighted sequence spaces, several corollaries about this class of operators are also deduced.
Ching-on Lo, Anthony Wai-keung Loh
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Integral type operators from normal weighted Bloch spaces to QT,S spaces

Journal of Hebei University of Science and Technology, 2016
Operator theory is an important research content of the analytic function space theory. The discussion of simultaneous operator and function space is an effective way to study operator and function space.
Yongyi GU, Wenjun YUAN, Fanning MENG
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Fredholmness of multiplication of a weighted composition operator with its adjoint on H 2 $H^{2}$ and A α 2 $A_{\alpha}^{2}$

Journal of Inequalities and Applications, 2018
In this paper, we obtain that C ψ , φ ∗ $C_{\psi,\varphi}^{\ast}$ is bounded below on H 2 $H^{2}$ or A α 2 $A_{\alpha}^{2}$ if and only if C ψ , φ $C_{\psi,\varphi }$ is invertible. Moreover, we investigate the Fredholm operators C ψ 1 , φ 1 C ψ 2 , φ 2 ∗
Mahmood Haji Shaabani
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Weighted differentiation composition operators on the $Q_K(p,q)$ spaces and‎ their essential ‎norms‎ [PDF]

Journal of Mahani Mathematical Research
In this paper, firstly we obtain characterization for boundedness of the weighted differentiation composition operator  from $Q_K(p,q) $ space into weighted Zygmund space.
Mostafa Hassanlou, Ebrahim Abbasi, Ali Ebrahimi   +2 more
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Compact differences of weighted composition operators on the weighted Bergman spaces

Journal of Inequalities and Applications, 2017
In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given, which ...
Maocai Wang, Xingxing Yao, Fen Chen
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