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Weighted Estimates for Operators Associated to the Bergman-Besov Kernels (2107.07180v1)
Published 15 Jul 2021 in math.CV and math.FA
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.