Results 51 to 60 of about 3,235,857 (187)

Weighted Composition Operators from Generalized Weighted Bergman Spaces to Weighted-Type Spaces

Journal of Inequalities and Applications, 2009
Let φ be a holomorphic self-map and let ψ be a holomorphic function on the unit ball B. The boundedness and compactness of the weighted composition operator ψCφ from the generalized weighted Bergman space into a class of ...
Dinggui Gu
doaj   +1 more source

Simply connected topological spaces of weighted composition operators

Open Mathematics, 2020
In this paper, we prove that the topological spaces of nonzero weighted composition operators acting on some Hilbert spaces of analytic functions on the unit open ball are simply connected.
Tong Cezhong, Zhang Zhan, Xu Biao
doaj   +1 more source

A Review on Classes of Composition Operators

پژوهش‌های ریاضی, 2020
Introduction In 1976, A. Lambert characterized subnormal weighted shifts. Then he studied hyponormal weighted composition operators on  in 1986 and in 1988 subnormal composition operators studied again by him. Recently, A. Lambert, et al., have published
Mohammadreza Azimi
doaj  

A sufficient condition for the boundedness of operator-weighted martingale transforms and Hilbert transform [PDF]

, 2007
Let W be an operator weight taking values almost everywhere in the bounded positive invertible linear operators on a separable Hilbert space H. We show that if W and its inverse W−1 both satisfy a matrix reverse Holder property introduced in [2], then ...
Pott, S.
core   +1 more source

Order-Bounded Difference in Weighted Composition Operators Between Fock Spaces

Mathematics
There are two aims in this paper. The first aim is to characterize the order-bounded weighted composition operators between Fock spaces, and the second is to further characterize the order-bounded difference in weighted composition operators between Fock
Xiao-Feng Peng, Zhi-Jie Jiang
doaj   +1 more source

On the stability index for weighted composition operators

Journal of Approximation Theory, 2010
An operator \(S:C(X)\to C(Y)\) is said to be a weighted composition operator (denoted \(S\in \mathbf {WCM}(X,Y)\)) if there exists \(a\in C(Y)\) and a map \(h:Y\to X\), continuous on \(\{y\in Y: a(y)\not=0\}\), such that \((Sf)(y)= a(y) f(h(y))\) for every \(f\in C(X)\) and \(y\in Y\). For \(\varepsilon\geq0\), the linear operator \(T:C(X)\to C(Y)\) is
Jesús Araujo, Juan J. Font
openaire   +3 more sources

Operators commuting with complex symmetric weighted composition operators on H 2

Concrete Operators
In this article, we initially study when an anti-linear Toeplitz operator is in the commutant of a composition operator. Primarily, we investigate weighted composition operators Wg,ψ{W}_{g,\psi } commuting with complex symmetric weighted composition ...
Bhuia Sudip Ranjan
doaj   +1 more source

Differences of Weighted Composition Operators on Hα∞(BN)∗

Journal of Inequalities and Applications, 2009
We study the boundedness and compactness of differences of weighted composition operators on weighted Banach spaces in the unit ball of CN.
Jineng Dai, Caiheng Ouyang
doaj   +1 more source

Eigenfunctions of the Weighted Composition Operators

Journal of Mathematical Extension, 2011
In the present paper, we characterize the eigenfunctions of a weighted composition operator on space of holomorphic function on the unit ...
H. Rezaei
doaj  

Binormal Weighted Composition Operators on the Fock Space

Journal of Function Spaces
The aim of this paper is to obtain the sufficient and necessary conditions for weighted composition operators uCφ with φz=az+b a≤1, uz=ced¯z, where a,b,c,d∈ℂ, to be binormal or quasinormal on the Fock space F2. Surprisingly, the normality, quasinormality,
Cao Jiang, Shi-an Han
doaj   +1 more source