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arXiv · 1903.01593

Multilinear fractional Calder\'on-Zygmund operators on weighted Hardy spaces

David Cruz-Uribe·Kabe Moen·Hanh Nguyen
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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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David Cruz-Uribe, Kabe Moen, Hanh Nguyen. 2019-03-04. Multilinear fractional Calder\'on-Zygmund operators on weighted Hardy spaces. https://arxiv.org/abs/1903.01593

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