Results 21 to 30 of about 110,950 (276)
Compact differences of weighted composition operators [PDF]
Collectanea Mathematica, 2020 AbstractCompact differences of two weighted composition operators acting from the weighted Bergman space $$A^p_{\omega }$$ A ω p to another weighted Bergman space $$A^q_{\nu }$$ A ...
Bin Liu, Jouni Rättyä
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Weighted composition operators in functional Banach spaces: an axiomatic approach [PDF]
, 2020 We work with very general Banach spaces of analytic functions in the disk or other domains which satisfy a minimum number of natural axioms. Among the preliminary results, we discuss some implications of the basic axioms and identify all functional ...
Arévalo, Irina, Vukotić, Dragan
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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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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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Approximation numbers of weighted composition operators [PDF]
, 2016 We study the approximation numbers of weighted composition operators $f\mapsto w\cdot(f\circ\varphi)$ on the Hardy space $H^2$ on the unit disc. For general classes of such operators, upper and lower bounds on their approximation numbers are derived. For
Lechner, Gandalf +3 more
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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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Hilbert-Schmidtness of weighted composition operators and their differences on Hardy spaces [PDF]
Opuscula Mathematica, 2020 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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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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Binormal and complex symmetric weighted composition operators on the Fock Space over $\mathbb{C}$
Математичні Студії, 2023 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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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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