Weighted Estimates for Operators Associated to the Bergman-Besov Kernels

Abstract: We characterize the weights for which we have the boundedness of standard weighted integral operators induced by the Bergman-Besov kernels acting between two general weighted Lebesgue classes on the unit ball of $\mathbb{C}^N$ in terms of B\'ekoll\'e - Bonami type condition on the weights. To accomplish this we employ the proof strategy originated by B\'ekoll\'e.