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Composition Operators from the Weighted Bergman Space to the 𝑛th Weighted Spaces on the Unit Disc
Discrete Dynamics in Nature and Society, 2009 The boundedness of the composition operator from the weighted Bergman space to the recently introduced by the author, the 𝑛th weighted space on the unit disc, is characterized.
Stevo Stević
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Weighted reproducing kernels in Bergman spaces.
Michigan Mathematical Journal, 1994 A major inspiration for this paper is the factorization theory developed by \textit{H. Hedenmalm} [J. Reine Angew. Math. 422, 45-68 (1991; Zbl 0734.30040)] for the standard Bergman space \(A^2\), and later generalized to the Bergman space \(A^2\) by \textit{P. Duren}, \textit{D. Khavinson}, \textit{H. S. Shapiro} and \textit{C. Sundberg} [Pac. J. Math.
MacGregor, T. H., Stessin, M. I.
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On the dual space of a weighted Bergman space on the unit ball of Cn
International Journal of Mathematics and Mathematical Sciences, 1988 The weighted Bergman space Aαp(Bn ...
J. S. Choa, H. O. Kim
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, 2018 The aim of the present paper is three folds. Firstly, we complete the study of the weighted hyperholomorphic Bergman space of the second kind on the ball of radius $R$ centred at the origin.
Ghanmi, A., Kachkouri, A. El
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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 +2 more
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Composition operators on weighted Bergman-Orlicz spaces [PDF]
Bulletin 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.
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On weighted harmonic Bergman spaces
Demonstratio Mathematica, 2008 AbstractThis paper is devoted to the investigation of the weighted Bergman harmonic ...
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WEIGHTED HARMONIC BERGMAN FUNCTIONS ON HALF-SPACES [PDF]
Journal 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
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Similarity of Operators in the Bergman Space Setting
, 2012 We give a necessary and sufficient condition for an n-hypercontraction to be similar to the backward shift operator in a weighted Bergman space. This characterization serves as a generalization of the description given in the Hardy space setting, where ...
Douglas, Ronald G. +2 more
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Canonical isometry on weighted Bergman spaces [PDF]
Pacific 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.
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