Rigidity of weighted composition operators on H^p
We show that every non-compact weighted composition operator $f \mapsto u\cdot (f\circϕ)$ acting on a Hardy space $H^p$ for $1 \leq p < \infty$ fixes an isomorphic copy of the sequence space $\ell^p$ and therefore fails to be strictly singular. We also characterize those weighted composition operators on $H^p$ which fix a copy of the Hilbert space $\
Nieminen Pekka +2 more
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A Characterization of Weighted Composition Operators
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Singh, R.K., Singh, Bhopinder
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Invertible and Isometric Weighted Composition Operators
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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Differences of weighted composition operators from Hardy space to weighted-type spaces on the unit ball [PDF]
summary:In this paper, we limit our analysis to the difference of the weighted composition operators acting from the Hardy space to weighted-type space in the unit ball of $\mathbb {C}^N$, and give some necessary and sufficient conditions for their ...
Liang, Yu-Xia, Zhou, Ze-Hua
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Convolution operators and the discrete Laplacian [PDF]
PhDIn this thesis, we obtain new results for convolution operators on homogeneous spaces and give applications to the Laplacian on a homogeneous graph. Some of these results have been published in joint papers [13, 14] with my supervisor.
Chen, Chung-Chuan
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Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces [PDF]
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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Topological Structures of Derivative Weighted Composition Operators on the Bergman Space
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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Binormal and complex symmetric weighted composition operators on the Fock Space over $\mathbb{C}$
In this paper, we give simple characterization of binormal weighted composition operators $C_{\psi, \phi}$ on the Fock space over $\mathbb{C}$ where weight function is of the form $\psi(\zeta) = e^{\langle \zeta, c \rangle}$ for some $c \in \mathbb{C ...
C. Santhoshkumar
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Hilbert-Schmidtness of weighted composition operators and their differences on Hardy spaces [PDF]
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
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Composition operators on Banach function spaces [PDF]
The aim of this thesis is to provide a survey of the topic of composition operators on spaces of (equivalence classes of) measurable functions and attempt to unify some of the most important results contained in the literature.
de Jager, Pierre
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