The Bergman projection on weighted spaces: L¹ and Herz spaces
We nd necessary and sucien t conditions on radial weights w on the unit disc so that the Bergman type projections of Forelli{Rudin are bounded on L 1 (w) and in the Herz spaces K q(w). 1. Introduction and preliminaries. The purpose of this paper is to study spaces of analytic functions on the unit disc D provided with a norm of a weighted Herz space. More precisely we consider the classical family of Bergman projections Ps, s > 1, and we give necessary and sucien t conditions on the weight making these projections continuous in the cor- responding weighted Herz space. We also consider the continuity of these