Integral representation of vertical operators on the Bergman space over the upper half-plane
Let $\Pi $ denote the upper half-plane. In this article, we prove that every vertical operator on the Bergman space $\mathcal{A}^2(\Pi )$ over the upper half-plane can be uniquely represented as an integral operator of the form \begin{equation*} \left(S_\varphi f\right)(z) = \int _{\Pi } f(w) \varp...
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| Hauptverfasser: | , , |
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| Format: | Artigo |
| Sprache: | Inglês |
| Veröffentlicht: |
Académie des sciences
2023-11-01
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| Schriftenreihe: | Comptes Rendus. Mathématique |
| Schlagworte: | |
| Online-Zugang: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.477/ |
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