Results 41 to 50 of about 5,191 (168)

Hyponormality on a weighted Bergman space of an annulus with a general harmonic symbol

Open Mathematics
In this work we consider the hyponormality of Toeplitz operators on the Bergman space of the annulus with a logarithmic weight. We give necessary conditions when the symbol is of the form φ+ψ̄ $\varphi +\bar{\psi }$ where both φ and ψ are analytic on ...
Sadraoui Houcine, Halouani Borhen
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Semicommutators and Zero Product of Block Toeplitz Operators with Harmonic Symbols

Journal of Function Spaces and Applications, 2013
We completely characterize the finite rank semicommutators, commutators, and zero product of block Toeplitz operators TF and TG with F,G∈h∞⊗Mn×n on the vector valued Bergman space La2(𝔻,ℂn).
Puyu Cui, Yufeng Lu, Yanyue Shi
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On some spaces of holomorphic functions of exponential growth on a half-plane

Concrete Operators, 2016
In this paper we study spaces of holomorphic functions on the right half-plane R, that we denote by Mpω, whose growth conditions are given in terms of a translation invariant measure ω on the closed half-plane R.
Peloso Marco M., Salvatori Maura
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Real Analytic Bergman Spaces

Zurnal matematiceskoj fiziki, analiza, geometrii
The usual examples of Bergman spaces consist of the closure of an algebra of holomorphic functions on a domain. One can also take the real part of such functions, but essentially one is looking at the same object. In this paper the author shows that the properties of real analyticity and bounded point evaluation can be preserved under closure in a ...
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On an interpolation problem on a class of a radially weighted harmonic Bergman space

Journal of Inequalities and Applications
The purpose of the present article is to interpolate a sequence by a function in the space of a weighted harmonic Bergman space on the unit ball such that the weight is provided radially.
Mohammed El Aïdi
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OPERATORS ON BERGMAN SPACES

Journal of Southwest Jiaotong University, 2021
Bergman space theory has been at the core of complex analysis research for many years. Indeed, Hardy spaces are related to Bergman spaces. The popularity of Bergman spaces increased when functional analysis emerged. Although many researchers investigated the Bergman space theory by mimicking the Hardy space theory, it appeared that, unlike their ...
openaire   +2 more sources

Fractional derivatives of holomorphic functions on bounded symmetric domains of Cn

International Journal of Mathematics and Mathematical Sciences, 1996
Let f∈H(Bn). f|β| denotes the βth fractional derivative of f.
Zengjian Lou
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Composition Operators on Classical Spaces of Analytic Functions [PDF]

Sahand Communications in Mathematical Analysis
We shall provide a brief account on new achievements in the study of composition and composition-differentiation operators acting on classical spaces of analytic functions on the unit disk, as well as on the polydisk and the unit ball.
Ali Abkar
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Schatten Class Toeplitz Operators on the Bergman Space

International Journal of Mathematics and Mathematical Sciences, 2009
We have shown that if the Toeplitz operator Tϕ on the Bergman space La2(𝔻) belongs to the Schatten class Sp,1 ...
Namita Das
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Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane

Abstract and Applied Analysis, 2011
Let ψ be a holomorphic mapping on the upper half-plane Π+={z∈ℂ:Jz>0} and φ be a holomorphic self-map of Π+. We characterize bounded weighted composition operators acting from the weighted Bergman space to the weighted-type space on the upper half-plane ...
Stevo Stević, Ajay K. Sharma, S. D. Sharma   +2 more
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