Results 231 to 240 of about 6,026 (260)

Dynamics of Weighted Composition Operators

Complex Analysis and Operator Theory, 2012
In the paper under review, the author is concerned with the dynamics of the weighted composition operator \(C_{\omega,\varphi}: H(\Omega)\to H(\Omega)\) given by \(C_{\omega,\varphi}(f)(z)=\omega(z)(f\circ \varphi)(z)\), for \(z\in \Omega\), where \(H(\Omega)\) denotes the space of holomorphic functions on a simply connected domain \(\Omega\) of the ...
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Weighted composition operators on weighted Lorentz spaces

Colloquium Mathematicum, 2012
The boundedness, compactness and closedness of the range of weighted composition operators acting on weighted Lorentz spaces L(p, q, wd mu) for 1 < p
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Eigenvalues of Adjoints of Certain Composition Operators and Weighted Composition Operators

Integral Equations and Operator Theory, 2014
The paper is concerned with the spectral theory of composition operators on the Hardy space \(H^2\) of the unit disk. The author proves that, under certain conditions on the symbol \(\varphi \) (involving in particular fixed points), the point-spectrum of the adjoint \(C_\varphi^*\) of \(C_\varphi\) contains a disk centered at the origin.
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Operators on Banach Lattices as Weighted Compositions

Journal of the London Mathematical Society, 1986
Lattice homomorphisms and disjointness preserving operators between Banach lattices having locally compact representation spaces are studied. These operators are described as weighted composition operators with respect to the representation spaces. Specifically, \(Tf=rf\circ \phi\) for r a scale valued function and \(\phi\) a map between representation
Feldman, W. A., Porter, J. F.
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Weighted Composition Operators that Preserve Frames

Integral Equations and Operator Theory, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jasbir Singh Manhas, Gabriel T. Prajitura, Ruhan Zhao   +2 more
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WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE

Journal of the London Mathematical Society, 2004
This paper is concerned with the study of weighted composition operators on the Bergman space \(L_a^2\) of all functions holomorphic in the unit disk \(D\) for which \(\| f\| _2^2=\int_D| f(z)| ^2dA(z)
Čučković, Željko, Zhao, Ruhan
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Comment to: Dynamics of Weighted Composition Operators

Complex Analysis and Operator Theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bès, J., Foster, C.
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Difference of weighted composition operators

Journal of Functional Analysis, 2020
The main result of the paper is a complete characterizations in terms of Carleson measures for bounded/compact differences of weighted composition operators acting on the standard weighted Bergman spaces over the unit disk. Here, the weight functions are non-holomorphic and unbounded. Several applications of this result are obtained.
Boo Rim Choe, Koeun Choi, Hyungwoon Koo, Jongho Yang   +3 more
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Commutators of weighted composition operators

International Journal of Mathematics, 2014
In this paper, we prove that if the composition symbols φ and ψ are linear fractional non-automorphisms of 𝔻 such that φ(ζ) and ψ(ζ) belong to ∂𝔻 for some ζ ∈ ∂𝔻 and u, v ∈ H∞ are continuous on ∂𝔻 with u(ζ)v(ζ) ≠ 0, then [Formula: see text] is compact on H2 if and only if ζ is the common boundary fixed point of φ and ψ and one of the following ...
Jung, Sungeun, Kim, Yoenha, Ko, Eungil
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Weighted Composition Operators on $$\mathbb {B}$$

2023
Le Hai Khoi, Javad Mashreghi
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