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Mathematics > Complex Variables

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

Authors: Hajer Ben Amor, Noureddine Ghiloufi
(Submitted on 20 Apr 2024)
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.
Comments: 18 pages, 2 figures
Subjects: Complex Variables (math.CV); Functional Analysis (math.FA)
MSC classes: 47G10, 32A25, 32A36, 32A37
Cite as: arXiv:2404.13483 [math.CV]
  (or arXiv:2404.13483v1 [math.CV] for this version)

Submission history

From: Noureddine Ghiloufi [view email]
[v1] Sat, 20 Apr 2024 22:53:29 GMT (452kb)
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