English

Weighted Estimates for the Berezin Transform and Bergman Projection on the Unit Ball in $\mathbb{C}^{n}$

Classical Analysis and ODEs 2016-11-23 v2

Abstract

Using modern techniques of dyadic harmonic analysis, we are able to prove sharp estimates for the Bergman projection and Berezin transform and more general operators in weighted Bergman spaces on the unit ball in Cn\mathbb{C}^n. The estimates are in terms of the Bekolle-Bonami constant of the weight.

Keywords

Cite

@article{arxiv.1601.04240,
  title  = {Weighted Estimates for the Berezin Transform and Bergman Projection on the Unit Ball in $\mathbb{C}^{n}$},
  author = {Rob Rahm and Edgar Tchoundja and Brett D. Wick},
  journal= {arXiv preprint arXiv:1601.04240},
  year   = {2016}
}

Comments

v1 19 pages