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On quaternionic bergman and poly-bergman spaces

Complex Variables, Theory and Application: An International Journal, 2000
Let п be the upper half-space in consider the Bergman space , the subspace of all left-ψ-hyper-holomorphic valued functions from . Complete decomposition of onto Bergman and Bergman type spaces of poly-ψ-hyper-holomorphic and poly-ψ-hyper-holomorphic functions is obtained. Simple isomorphic descriptions of all these spaces are given.
openaire   +1 more source

From Zygmund space to Bergman–Zygmund space

Banach Journal of Mathematical Analysis
Given a positive measure \(\mu\) on the unit disk \(\mathbb D\) and given parameters \(p\in(0,\infty)\) and \(\beta\in\mathbb R\), the Zygmund space \(L^{p,\beta}(d\mu)\) consists of the measurable functions \(f\) in \(\mathbb D\) such that \[ \int_{\mathbb D} |f|^p \log^\beta (e+|f|)^\beta d\mu< \infty.
Hong Rae Cho   +2 more
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Hilbert Matrix and Its Norm on Weighted Bergman Spaces

Journal of Geometric Analysis, 2020
Boban Karapetrović
semanticscholar   +1 more source

Imbedding of Bergman spaces

Lithuanian Mathematical Journal, 1988
For ...
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Bergman Spaces

2004
Peter Duren, Alexander Schuster
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The Weighted Bergman Spaces

2000
In this section we study some basic tools of analysis such as integration in various versions of polar coordinates and certain fundamental functions which appear in all later investigations.
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Bounded extremal problems in Bergman and Bergman-Vekua spaces

Complex Variables and Elliptic Equations, 2022
Briceyda B Delgado, Juliette Leblond
exaly  

On some product-type operators from Hardy–Orlicz and Bergman–Orlicz spaces to weighted-type spaces

Applied Mathematics and Computation, 2014
Benoit Sehba, Stevo Stević
exaly  

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