Results 11 to 20 of about 5,409 (243)
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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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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Centered weighted composition operators via measure theory [PDF]
Mathematica Bohemica, 2018 We describe the centered weighted composition operators on $L^2(\Sigma)$ in terms of their defining symbols. Our characterizations extend Embry-Wardrop-Lambert's theorem on centered composition operators.
Mohammad Reza Jabbarzadeh +1 more
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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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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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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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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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Invertible weighted composition operators [PDF]
Proceedings of the American Mathematical Society, 2013 11 pages, to be published in the Proceedings of the American Mathematical ...
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