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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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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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Weighted Composition Operators on Some Weighted Spaces in the Unit Ball [PDF]

Abstract and Applied Analysis, 2008
Let Bn be the unit ball of Cn, H(Bn) the space of all holomorphic functions in Bn. Let u∈H(Bn) and α be a holomorphic self-map of Bn. For f∈H(Bn), the weigthed composition operator uCα is defined by (uCαf)(z)=u(z)f(α(z)),z∈Bn.
Xiaohong Fu, Xiangling Zhu
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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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Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces [PDF]

Abstract and Applied Analysis, 2008
We estimate the essential norm of a compact weighted composition operator 𝑢𝐶𝜑 acting between different Hardy spaces of the unit ball in ℂ𝑁. Also we will discuss a compact multiplication operator between Hardy spaces.
Sei-Ichiro Ueki, Luo Luo
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On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces [PDF]

Abstract and Applied Analysis, 2009
A bounded linear operator T on a Hilbert space ℋ, satisfying ‖T2h‖2+‖h‖2≥2‖Th‖2 for every h∈ℋ, is called a convex operator. In this paper, we give necessary and sufficient conditions under which a convex composition operator on a large class of weighted ...
Karim Hedayatian, Lotfollah Karimi
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Spectrum of Compact Weighted Composition Operators on the Weighted Hardy Space in the Unit Ball [PDF]

Journal of Inequalities and Applications, 2007
Let BN be the unit ball in the N-dimensional complex space, for ψ, a holomorphic function in BN, and ϕ, a holomorphic map from BN into itself, the weighted composition operator on the weighted Hardy space H2(β,BN) is given by (Cψ,ϕ)f=ψ ...
Cheng Yuan, Ze-Hua Zhou
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Examining the behavior of parametric convex operators on a certain set of analytical functions [PDF]

MethodsX
Mathematical 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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Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type Spaces

Abstract and Applied Analysis, 2014
Let H(𝔻) denote the space of all holomorphic functions on the unit disk 𝔻 of ℂ, u∈H(𝔻) and let  n be a positive integer, φ a holomorphic self-map of 𝔻, and μ a weight.
Huiying Qu, Yongmin Liu, Shulei Cheng
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Differences weighted composition operators acting between kind of weighted Bergman-type spaces and the Bers-type space -I-

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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