Results 31 to 40 of about 13,068 (205)

The weighted composition operators on the large weighted Bergman spaces

open access: yes, 2018
In this paper, we characterize bounded, compact or Schatten class weighted composition operators acting on Bergman spaces with the exponential type weights. Moreover, we give the proof of the necessary part for the boundedness of composition operators on
Park, Inyoung
core   +1 more source

Hankel Operators on the Weighted LP-Bergman Spaces with Exponential Type Weights

open access: yesAbstract and Applied Analysis, 2014
We characterize the boundedness and compactness of the Hankel operator with conjugate analytic symbols on the weighted LP-Bergman spaces with exponential type weights.
Hong Rae Cho, Jeong Wan Seo
doaj   +1 more source

Composition operators on weighted Bergman-Orlicz spaces [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2007
In this paper, composition operators acting on Bergman-Orlicz spaces are studied, where ψ is a non-constant, non-decreasing convex function defined on (-∞, ∞) which satisfies the growth condition . In fact, under a mild condition on ∞, we show that every holomorphic-self map ∞ of induces a bounded composition operator on and C∞ is compact on if and ...
Sharma, Ayay K., Sharma, S. D.
openaire   +1 more source

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

open access: yesJournal 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

On Stević-Sharma Operators from General Class of Analytic Function Spaces into Zygmund-Type Spaces

open access: yesJournal of Function Spaces, 2022
A Stevic′-Sharma operator denoted by Tψ1,ψ2,φ is a generalization product of multiplication, differentiation, and composition operators. In this paper, we characterize the bounded and compact Stevic′-Sharma operator Tψ1,ψ2,φ from a general class X of ...
M. A. Bakhit, A. Kamal
doaj   +1 more source

On weighted harmonic Bergman spaces

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

WEIGHTED HARMONIC BERGMAN FUNCTIONS ON HALF-SPACES [PDF]

open access: yesJournal of the Korean Mathematical Society, 2005
Given a positive integer \(n\), let \({\mathbb H}={\mathbb R}^{n-1}\times {\mathbb R}_+\) be the upper half-space where \({\mathbb R}_+\) denotes the set of all positive real numbers.
Koo, Hyungwoon   +2 more
openaire   +1 more source

Bounded holomorphic projections for exponentially decreasing weights

open access: yesJournal of Function Spaces and Applications, 2008
We construct generalized Bergman projections on a large class of weighted L∞–spaces. The examples include exponentially decreasing weights on the unit disc and complex plane.
Wolfgang Lusky, Jari Taskinen
doaj   +1 more source

Canonical isometry on weighted Bergman spaces [PDF]

open access: yesPacific Journal of Mathematics, 1989
Let u be an absolutely continuous measure on a domain \(D\subset \mathbb{C}^ N\) with a strictly positive continuous Radon-Nikodym derivative with respect to the Lebesgue measure. Let \(G(u)\) be the group of biholomorphic automorphisms \(\varphi\) of \(D\) which leave u invariant modulo holomorphic change of gauge (i.e.
openaire   +2 more sources

A NOTE ON A TWO-PARAMETER FAMILY OF OPERATORS ${\MATHCAL A}^{B,C}$ ON WEIGHTED BERGMAN SPACES

open access: yesПроблемы анализа, 2019
In this article, we prove that the two-parameter family of operators Ab,c is bounded on the weighted Bergman spaces B p α+c−1 if α + 2 < p and unbounded if α + 2 = p.
S. Naik, P. K. Nath
doaj   +1 more source

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