Refined Two Weight Estimates for the Bergman Projection

Abstract

We prove sufficient conditions for the two-weight boundedness of the Bergman projection on the unit ball. The first condition is in terms of Orlicz averages of the weights, while the second condition is in terms of the mixed $B_{\infty }$-$B_2$ characteristics.

14 pages, 1 figure, to appear in Collectanea Mathematica

References in corpus (1)

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