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arXiv · 2404.13483

Modified Bergman spaces on the unit ball of $\mathbb C^n$ and applications

Hajer Ben Amor·Noureddine Ghiloufi
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Abstract

In this paper, we introduce new spaces of holomorphic functions on the unit ball $\mathbb{B}_{n}$ of $\mathbb{C}^{n}$ generalizing the classical Bergman spaces. The main results include the properties of some operators and integrals representations such as Bergman-type projections, and Berezin transform.

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Hajer Ben Amor, Noureddine Ghiloufi. 2024-04-20. Modified Bergman spaces on the unit ball of $\mathbb C^n$ and applications. https://arxiv.org/abs/2404.13483

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