English

On the Bergman projections acting on $L^\infty$ in the unit ball $\mathbb B_n$

Functional Analysis 2019-12-06 v1

Abstract

Given a weight function, we define the Bergman type projection with values in the corresponding weighted Bergman space on the unit ball Bn\mathbb B_n of Cn,n>1\mathbb C^n, n>1. We characterize the radial weights such that this projection is bounded from LL^\infty to the Bloch space B\mathcal B.

Keywords

Cite

@article{arxiv.1912.02307,
  title  = {On the Bergman projections acting on $L^\infty$ in the unit ball $\mathbb B_n$},
  author = {Van An Le},
  journal= {arXiv preprint arXiv:1912.02307},
  year   = {2019}
}