English

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

Complex Variables 2024-04-23 v1 Functional Analysis

Abstract

In this paper, we introduce new spaces of holomorphic functions on the unit ball Bn\mathbb{B}_{n} of Cn\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.

Keywords

Cite

@article{arxiv.2404.13483,
  title  = {Modified Bergman spaces on the unit ball of $\mathbb C^n$ and applications},
  author = {Hajer Ben Amor and Noureddine Ghiloufi},
  journal= {arXiv preprint arXiv:2404.13483},
  year   = {2024}
}

Comments

18 pages, 2 figures