Results 11 to 20 of about 137,385 (274)

Generalized Weighted Composition Operators on Weighted Bergman Spaces [PDF]

Numerical Functional Analysis and Optimization, 2009
Summary: The boundedness, compactness, essential norm, Hilbert-Schmidt class and order boundedness of generalized weighted composition operators on weighted Bergman spaces are investigated in this paper. For Part I, see [\textit{X. Zhu}, Numer. Funct. Anal. Optim. 30, No. 7--8, 881--893 (2009; Zbl 1183.47030)].
Xiangling Zhu
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Closed range weighted composition operators between L^{p}-spaces [PDF]

Opuscula Mathematica, 2021
We characterize the closedness of ranges of weighted composition operators between \(L^p\)-spaces, where \(1 \leq p \leq \infty\). When the \(L^p\)-spaces are weighted sequence spaces, several corollaries about this class of operators are also deduced.
Ching-on Lo, Anthony Wai-keung Loh
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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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Integral type operators from normal weighted Bloch spaces to QT,S spaces

Journal of Hebei University of Science and Technology, 2016
Operator theory is an important research content of the analytic function space theory. The discussion of simultaneous operator and function space is an effective way to study operator and function space.
Yongyi GU, Wenjun YUAN, Fanning MENG
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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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Cram\'er transform and t-entropy [PDF]

, 2013
t-entropy is the convex conjugate of the logarithm of the spectral radius of a weighted composition operator (WCO). Let $X$ be a nonnegative random variable.
Ostaszewska, Urszula, Zajkowski, Krzysztof   +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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Compact weighted composition operators and fixed points in convex domains [PDF]

, 2006
We extend a classical result of Caughran/Schwartz and another recent result of Gunatillake by showing that if D is a bounded, convex domain in n-dimensional complex space, m is a holomorphic function on D and bounded away from zero toward the boundary of
Clahane, Dana D.
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Weighted differentiation composition operators on the $Q_K(p,q)$ spaces and‎ their essential ‎norms‎ [PDF]

Journal of Mahani Mathematical Research
In this paper, firstly we obtain characterization for boundedness of the weighted differentiation composition operator  from $Q_K(p,q) $ space into weighted Zygmund space.
Mostafa Hassanlou, Ebrahim Abbasi, Ali Ebrahimi   +2 more
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Weighted Composition Operators from Hardy to Zygmund Type Spaces

Abstract and Applied Analysis, 2013
This paper aims at studying the boundedness and compactness of weighted composition operator between spaces of analytic functions. We characterize boundedness and compactness of the weighted composition operator from the Hardy spaces to the Zygmund ...
Shanli Ye, Zhengyuan Zhuo
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