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Composition Operators and Endomorphisms [PDF]

open access: yesComplex Analysis and Operator Theory, 2010
If $b$ is an inner function, then composition with $b$ induces an endomorphism, $\beta$, of $L^\infty(\mathbb{T})$ that leaves $H^\infty(\mathbb{T})$ invariant.
Dennis Courtney   +15 more
core   +2 more sources

HYPERCYCLIC COMPOSITION OPERATORS

open access: yesJournal 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]

open access: yesAbstract 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 A2 [PDF]

open access: diamondمجلة 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   +3 more sources

Compact composition operators [PDF]

open access: bronzeJournal of the Australian Mathematical Society, 1979
AbstractLet (Хζ,λ) be a σ-finite measure space, and let ϕ be a non-singular measurable transformation from X into itself. Then a composition transformation Cϕ on L2(λ) is defined by Cϕf = f ∘ ϕ. If Cϕ is a bounded operator, then it is called a composition operator.
Raj Singh, Ashok Kumar
openalex   +3 more sources

Composition operators from harmonic $ \mathcal{H}^{\infty} $ space into harmonic Zygmund space

open access: yesAIMS Mathematics, 2023
This research paper sought to characterize the boundedness and compactness of composition operators from the space $ \mathcal{H}^{\infty} $ of bounded harmonic mappings into harmonic Zygmund space $ \mathcal{Z}_H $, on the open unit disk. Furthermore, we
Munirah Aljuaid, Mahmoud Ali Bakhit
doaj   +1 more source

On Composition Operators on N+(?) [PDF]

open access: yesمجلة 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

Normality and Quasinormality of Specific Bounded Product of Densely Defined Composition Operators in L2 Spaces

open access: yesConcrete 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

Intertwining relations for composition operators and integral-type operators between the Bloch-type spaces

open access: yesAIMS Mathematics, 2022
In this paper, the compact intertwining relations of integral-type operators and composition operators between the Bloch-type spaces are investigated.
Hang Zhou
doaj   +1 more source

D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces

open access: yesCubo, 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

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