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 Békollé - Bonami type condition on the weights. To accomplish this we employ the proof strategy originated by Békollé.

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