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

Published 20 Apr 2024 in math.CV and math.FA | (2404.13483v1)

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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