Results 1 to 10 of about 30,319 (147)
HYPERCYCLIC COMPOSITION OPERATORS
Journal of Vasyl Stefanyk Precarpathian National University, 2015 In this paper we give survey of hypercyclic composition operators. In pacticular,we represent new classes of hypercyclic composition operators on the spaces of analyticfunctions.
Z.H. Mozhyrovska
doaj +3 more sources
Antinormal Weighted Composition Operators [PDF]
Abstract and Applied Analysis, 2016 Let l2=L2N,μ, where N is set of all positive integers and μ is the counting measure whose σ-algebra is the power set of N. In this paper, we obtain necessary and sufficient conditions for a weighted composition operator to be antinormal on the Hilbert ...
Dilip Kumar, Harish Chandra
doaj +4 more sources
On Composition Operators on N+(?) [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 1998 Let N(?) denote the class of analytic functions fin a domain ?, contained in the complex numbers C, such that log(1+| f |) has a harmonic majorant. The subclass N+(?) of N(?) consists of all f such that log(1+| f |) has a quasi-bounded harmonic majorant.
Mahmud Masri
doaj +1 more source
On Composition Operators on A2 [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 1995 If (?) is an analytic function mapping the open unit disk D into itself and A2 is the Bergman space of analytic functions on D, the compositon operator C?, on A2 is defined by C?f=fo?feA2.
Mahmud Ilayyan Masri
doaj +1 more source
Concrete Operators, 2022 Let (X, 𝒜, μ) be a σ−finite measure space. A transformation ϕ : X → X is non-singular if μ ∘ ϕ−1 is absolutely continuous with respect with μ. For this non-singular transformation, the composition operator Cϕ: 𝒟(Cϕ) → L2(μ) is defined by Cϕf = f ∘ ϕ, f ∈
Zhou Hang
doaj +1 more source
D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces
Cubo, 2020 The aim of this paper is to introduce new hyperbolic classes of functions, which will be called ${\mathcal{B}}^{*} _{\alpha,\;\log}$ and ${ F ^{*}_{\log}}(p,q,s)$ classes.
A. Kamal, T.I. Yassen
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Bulletin of the Australian Mathematical Society, 1978 A study of centered composition operators on l2 is made in this paper. Also the spectrum of surjective composition operators is computed. A necessary and sufficient condition is obtained for the closed unit disc to be the spectrum of a surjective composition operator.
Singh, R. K., Komal, B. S.
openaire +2 more sources
Weighted composition operators on Hardy–Smirnov spaces
Concrete Operators, 2022 Operators of type f → ψf ◦ φ acting on function spaces are called weighted composition operators. If the weight function ψ is the constant function 1, then they are called composition operators.
Matache Valentin
doaj +1 more source