Results 51 to 60 of about 122,241 (182)

On weighted harmonic Bergman spaces

Demonstratio Mathematica, 2008
AbstractThis paper is devoted to the investigation of the weighted Bergman harmonic ...
openaire   +1 more source

Volterra composition operators from generalized weighted weighted Bergman spaces to µ-Bloch spaces

Journal of Function Spaces and Applications, 2009
Let φ be a holomorphic self-map and g be a fixed holomorphic function on the unit ball B. The boundedness and compactness of the operator Tg,φf(z)=∫01f(φ(tz))ℜg(tz)dtt from the generalized weighted Bergman space into the µ-Bloch space are studied in this
Xiangling Zhu
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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 ...
openaire   +3 more sources

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
doaj   +1 more source

The canonical injection of the Hardy-Orlicz space $H^\Psi$ into the Bergman-Orlicz space ${\mathfrak B}^\Psi$

, 2010
We study the canonical injection from the Hardy-Orlicz space $H^\Psi$ into the Bergman-Orlicz space ${\mathfrak B}^\Psi$.Comment: 21 ...
Lefèvre, Pascal, Li, Daniel, Queffélec, Hervé, Rodriguez-Piazza, Luis   +3 more
core   +1 more source

Bicomplex Bergman spaces on bounded domains

, 2018
The bicomplex Bergman spaces are studied for any bounded bicomplex domain. Its Bergman kernel is computed in terms of the kernels of the complex projections of the domain.
Perez-Regalado, Cesar O., Quiroga-Barranco, Raul   +1 more
core  

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