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arXiv · 2503.23589

Hardy type spaces estimates for multilinear fractional integral operators

Jian Tan
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Abstract

In this paper, we prove the boundedness of multilinear fractional integral operators from products of Hardy spaces associated with ball quasi-Banach function spaces into their corresponding ball quasi-Banach function spaces. As applications, we establish the boundedness of these operators on various function spaces, including weighted Hardy spaces, variable Hardy spaces, mixed-norm Hardy spaces, Hardy--Lorentz spaces, and Hardy--Orlicz spaces. Notably, several of these results are new, even in special cases, and extend the existing theory of multilinear operators in the context of generalized Hardy spaces.

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Jian Tan. 2025-03-30. Hardy type spaces estimates for multilinear fractional integral operators. https://arxiv.org/abs/2503.23589

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