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Fredholm Weighted Composition Operator on Weighted Hardy Space [PDF]

open access: yesJournal 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
doaj   +5 more sources

Fredholmness of multiplication of a weighted composition operator with its adjoint on H 2 $H^{2}$ and A α 2 $A_{\alpha}^{2}$ [PDF]

open access: yesJournal 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
doaj   +2 more sources

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   +4 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

Weighted Composition Operators on the Zygmund Space [PDF]

open access: yesAbstract and Applied Analysis, 2012
We characterize the boundedness and compactness of the weighted composition operator on the Zygmund space Z={f∈H(D):sup⁡z∈D(1-|z|2)|f″(z)|
Shanli Ye, Qingxiao Hu
doaj   +4 more sources

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

A class of operator related weighted composition operators between Zygmund space [PDF]

open access: yesAUT 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
doaj   +1 more source

Weighted Composition Operators and Supercyclicity Criterion [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
We consider an equivalent condition to the property of Supercyclicity Criterion, and then we investigate this property for the adjoint of weighted composition operators acting on Hilbert spaces of analytic functions.
Bahmann Yousefi, Javad Izadi
openaire   +2 more sources

Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces [PDF]

open access: yesSahand 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
doaj   +1 more source

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

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