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Fredholm weighted composition operators
Integral Equations and Operator Theory, 1993We characterize the Fredholm weighted composition operators onC(X). In particular, ifX is a set with some regular property like intervals or balls inR n , our characterization implies that a weighted composition operator is Fredholm if and only if it is invertible.
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Weighted Composition Operators on Weighted Hardy Spaces
Computational Methods and Function Theory, 2019For functions $$ \mu : {\mathbb {N}}_0 \rightarrow {\mathbb {C}} $$ and $$ \theta : {\mathbb {N}}_0 \rightarrow {\mathbb {N}}_0 $$
Anuradha Gupta, Bhawna Gupta
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Weighted Composition Operators on Weighted Dirichlet Spaces
Acta Mathematica Scientia, 2013We characterize the boundedness and compactness of weighted composition operators on weighted Dirichlet spaces in terms of Nevanlinna counting functions and Carleson measure.
Zengjian Lou, Xiaosong Liu
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Dynamics of Weighted Composition Operators
Complex Analysis and Operator Theory, 2012We study the dynamic behaviour of weighted composition operators on the space of holomorphic functions on a simply connected plane domain and endowed with the compact open topology. Any such operator is weakly supercyclic if and only if it is topologically mixing and, when the weight is bounded, if and only if the operator has a hypercyclic subspace ...
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Eigenvalues of Adjoints of Certain Composition Operators and Weighted Composition Operators [PDF]
We look at the point-spectrum of the adjoints of certain composition operators on the Hardy–Hilbert space, for which the composition map has two distinguished fixed points: one inside the unit disk and one on the unit circle. In particular, we show that the point-spectrum of such operators contains a disk centered at the origin, and each eigenvalue in ...
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Notes on Hypercyclicity of Composition Operator on the Weighted Dirichlet Spaces
Complex Analysis and Operator Theory, 2022Li Zhang+3 more
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2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane
Complex Analysis and Operator Theory, 2023Yan-fu Xue+2 more
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A Left Linear Weighted Composition Operator on Quaternionic Fock Space
Results in Mathematics, 2019Yu-Xia Liang
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Complex Analysis and Operator Theory, 2020
Shams Alyusof, Flavia Colonna
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Shams Alyusof, Flavia Colonna
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Hypercyclicity of Weighted Composition Operators on $$L^p$$-Spaces
Mediterranean Journal of Mathematics, 2022M. Azimi, M. Jabbarzadeh
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