$L^p$ regularity of some weighted Bergman projections on the unit disc

Abstract

We show that weighted Bergman projections, corresponding to weights of the form $M(z)(1 − |z|^2)^{alpha}$ , where α > −1 and M(z) is a radially symmetric, strictly positive and at least $C^2$ function on $overlineBbb {D}$, are Lp regular.