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Weighted Bergman Spaces

2020
The intention of this article is to describe a particular example; it is a simple example, but I hope it is sufficiently appealing to induce the reader to think about the questions it raises. The reader is warned that this is not a research article, but rather an illustrative one.
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Polynomial Approximation in Bergman Spaces

Ukrainian Mathematical Journal, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Isometries of Weighted Bergman Spaces

Canadian Journal of Mathematics, 1982
In [2], [8] and [10], Forelli, Rudin and Schneider described the isometries of the Hp spaces over balls and polydiscs. Koranyi and Vagi [6] noted that their methods could be used to describe the isometries of the Hp spaces over bounded symmetric domains.
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Coorbit Theory and Bergman Spaces

2013
Coorbit theory arose as an attempt to describe in a unified fashion the properties of the continuous wavelet transform and the STFT (Short-time Fourier transform) by taking a group theoretical viewpoint. As a consequence H.G. Feichtinger and K.H. Grochenig have established a rather general approach to atomic decomposition for families of Banach spaces (
Feichtinger, Hans, Pap, Margit
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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.
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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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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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