English

Weighted Estimates for Operators Associated to the Bergman-Besov Kernels

Complex Variables 2021-07-16 v1 Functional Analysis

Abstract

We characterize the weights for which we have the boundedness of standard weighted integral operators induced by the Bergman-Besov kernels acting between two general weighted Lebesgue classes on the unit ball of CN\mathbb{C}^N in terms of B\'ekoll\'e - Bonami type condition on the weights. To accomplish this we employ the proof strategy originated by B\'ekoll\'e.

Keywords

Cite

@article{arxiv.2107.07180,
  title  = {Weighted Estimates for Operators Associated to the Bergman-Besov Kernels},
  author = {David Békollé and Adriel R. Keumo and Edgar L. Tchoundja and Brett D. Wick},
  journal= {arXiv preprint arXiv:2107.07180},
  year   = {2021}
}

Comments

v1: 34 pages