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Antinormal Weighted Composition Operators [PDF]

open access: yesAbstract and Applied Analysis, 2016
Let l2=L2N,μ, where N is set of all positive integers and μ is the counting measure whose σ-algebra is the power set of N. In this paper, we obtain necessary and sufficient conditions for a weighted composition operator to be antinormal on the Hilbert ...
Dilip Kumar, Harish Chandra
doaj   +6 more sources

Compact differences of weighted composition operators on the weighted Bergman spaces [PDF]

open access: yesJournal 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
doaj   +2 more sources

Weighted composition operators on the logarithmic Bloch-Orlicz space. [PDF]

open access: yesPLoS ONE
The boundedness and compactness of weighted composition operators on the logarithmic Bloch-Orlicz space [Formula: see text] are investigated in this paper.
Hang Zhou
doaj   +2 more sources

Non-Weakly Supercyclic Weighted Composition Operators [PDF]

open access: yesAbstract and Applied Analysis, 2010
We give sufficient conditions under which a weighted composition operator on a Hilbert space of analytic functions is not weakly supercyclic. Also, we give some necessary and sufficient conditions for hypercyclicity and supercyclicity of weighted ...
Z. Kamali   +2 more
doaj   +3 more sources

Closed range weighted composition operators between L^{p}-spaces [PDF]

open access: yesOpuscula 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
doaj   +1 more source

Weighted composition operators on Hardy–Smirnov spaces

open access: yesConcrete Operators, 2022
Operators of type f → ψf ◦ φ acting on function spaces are called weighted composition operators. If the weight function ψ is the constant function 1, then they are called composition operators.
Matache Valentin
doaj   +1 more source

Isometric multiplication operators and weighted composition operators of BMOA

open access: yesJournal 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
doaj   +1 more source

Centered weighted composition operators via measure theory [PDF]

open access: yesMathematica Bohemica, 2018
We describe the centered weighted composition operators on $L^2(\Sigma)$ in terms of their defining symbols. Our characterizations extend Embry-Wardrop-Lambert's theorem on centered composition operators.
Mohammad Reza Jabbarzadeh   +1 more
doaj   +1 more source

Hilbert-Schmidtness of weighted composition operators and their differences on Hardy spaces [PDF]

open access: yesOpuscula Mathematica, 2020
Let \(u\) and \(\varphi\) be two analytic functions on the unit disk \(\mathbb{D}\) such that \(\varphi(\mathbb{D}) \subset \mathbb{D}\). A weighted composition operator \(uC_{\varphi}\) induced by \(u\) and \(\varphi\) is defined on \(H^2\), the Hardy ...
Ching-on Lo, Anthony Wai-keung Loh
doaj   +1 more source

Topological Structures of Derivative Weighted Composition Operators on the Bergman Space

open access: yesJournal of Function Spaces, 2015
We characterize the difference of derivative weighted composition operators on the Bergman space in the unit disk and determine when linear-fractional derivative weighted composition operators belong to the same component of the space of derivative ...
Ce-Zhong Tong, Cheng Yuan, Ze-Hua Zhou
doaj   +1 more source

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