Results 21 to 30 of about 11,193 (264)

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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Fredholm weighted composition operators [PDF]

Operators and Matrices, 2019
Summary: We show that Fredholm weighted composition operators on \(L^p\)-spaces with nonatomic measures are precisely the invertible ones. We also characterize the classes of Fredholm and invertible weighted composition operators on \(l^p\). Furthermore, the closedness of ranges and Fredholmness of these operators on \(H^p\)-spaces of the unit disk are
Lo, Ching-On, Loh, Anthony Wai-Keung
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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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ORDER BOUNDED WEIGHTED COMPOSITION OPERATORS [PDF]

Journal of the Australian Mathematical Society, 2012
AbstractLet$\phi $and$\psi $be analytic maps on the open unit disk$D$such that$\phi (D) \subset D$. Such maps induce a weighted composition operator$C_{\phi ,\psi }$acting on weighted Banach spaces of type$H^{\infty }$or on weighted Bergman spaces, respectively. We study when such operators are order bounded.
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Weighted Composition Operators on BMOA [PDF]

Computational Methods and Function Theory, 2008
The author completely characterizes the boundedness and compactness of the weighted composition operator \(W_{\psi,\varphi}f=\psi (f\circ \varphi)\) acting on \(BMOA\) and \(VMOA\) of the unit disc. The results extend and unify those known for the cases \(\varphi(z)=z\) and \(\psi(z)=1\) corresponding to the multiplication operator \(M_\psi\) [see ...
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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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Weighted Composition Operators from Hardy to Zygmund Type Spaces

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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Topological Structures of Derivative Weighted Composition Operators on the Bergman Space

Journal 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
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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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Invertible and Isometric Weighted Composition Operators

Mediterranean Journal of Mathematics, 2022
AbstractWe consider abstract Banach spaces of analytic functions on general bounded domains that satisfy only a minimum number of axioms. We describe all invertible (equivalently, surjective) weighted composition operators acting on such spaces. For the spaces of analytic functions in the disk whose norm is given in terms of a natural seminorm (such ...
Alejandro Mas, Dragan Vukotić
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