Fredholmness of multiplication of a weighted composition operator with its adjoint on H 2 $H^{2}$ and A α 2 $A_{\alpha}^{2}$ [PDF]
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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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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Compact weighted composition operators and fixed points in convex domains [PDF]
, 2006 We extend a classical result of Caughran/Schwartz and another recent result of Gunatillake by showing that if D is a bounded, convex domain in n-dimensional complex space, m is a holomorphic function on D and bounded away from zero toward the boundary of
Clahane, Dana D.
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Nonvanishing Preservers and Compact Weighted Composition Operators between Spaces of Lipschitz Functions [PDF]
Abstract and Applied Analysis, 2013 We will give the -Lipschitz version of the Banach-Stone type theorems for lattice-valued -Lipschitz functions on some metric spaces. In particular, when and are bounded metric spaces, if is a nonvanishing preserver, then is a weighted composition ...
Dongyang Chen +3 more
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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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A New Essential Norm Estimate of Composition Operators from Weighted Bloch Space into -Bloch Spaces [PDF]
Journal of Function Spaces and Applications, 2013 Let be any weight function defined on the unit disk and let be an analytic self-map of . In the present paper, we show that the essential norm of composition operator mapping from the weighted Bloch space to -Bloch space is comparable to where for ,
René E. Castillo +2 more
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Examining the behavior of parametric convex operators on a certain set of analytical functions [PDF]
MethodsXMathematical operators that maintain convex functional combinations involving at least one parameter are called parametric convex operators (PCOs) on analytic function spaces.
Ibtisam Aldawish
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AIMS Mathematics, 2023 Let $ \mathcal{O}(\mathbb{D}) $ denote the class of all analytic or holomorphic functions on the open unit disk $ \mathbb{D} $ of $ \mathbb{C} $. Let $ \varphi $ and $ \psi $ are an analytic self-maps of $ \mathbb{D} $ and $ u, v\in \mathcal{O}(\mathbb{D}
Aydah Mohammed Ayed Al-Ahmadi
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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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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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