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arXiv · 2112.06249

Weak factorizations of the Hardy space in terms of multilinear fractional integral operator

Dinghuai Wang·Rongxiang Zhu
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Abstract

We give a constructive proof of the factorization theorem for the classical Hardy space in terms of fractional integral operator. Moreover, the result is extended to the multilinear case and weighted case. As an application, we obtain the characterization of $BMO$ via the weighted boundedness of commutators of the multilinear fractional integral operator, without individual conditions on the weights class.

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Dinghuai Wang, Rongxiang Zhu. 2021-12-12. Weak factorizations of the Hardy space in terms of multilinear fractional integral operator. https://arxiv.org/abs/2112.06249

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