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Rescaled extrapolation for vector-valued functions (1703.06044v4)
Published 17 Mar 2017 in math.FA and math.CA
Abstract: We extend Rubio de Francia's extrapolation theorem for functions valued in UMD Banach function spaces, leading to short proofs of some new and known results. In particular we prove Littlewood-Paley-Rubio de Francia-type estimates and boundedness of variational Carleson operators for Banach function spaces with UMD concavifications.
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