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Multilinear fractional Calderón-Zygmund operators on weighted Hardy spaces

Published 4 Mar 2019 in math.CA | (1903.01593v1)

Abstract: We prove norm estimates for multilinear fractional integrals acting on weighted and variable Hardy spaces. In the weighted case we develop ideas we used for multilinear singular integrals [7]. For the variable exponent case, a key element of our proof is a new multilinear, off-diagonal version of the Rubio de Francia extrapolation theorem.

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