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arXiv · 2609.07513

Boundedness of Multilinear Hilbert Transforms Along Moment Curves

Jingwei Guo·Xiaochun Li·Guoqing Zhan
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Abstract

We prove the boundedness of multilinear Hilbert transforms along moment curves by establishing uniform estimates for both translated and untranslated multilinear paraproducts and by applying a Sobolev smoothing inequality. As a byproduct of our method, we obtain the same bounds for multilinear maximal functions along moment curves.

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Jingwei Guo, Xiaochun Li, Guoqing Zhan. 2026-09-07. Boundedness of Multilinear Hilbert Transforms Along Moment Curves. https://arxiv.org/abs/2609.07513

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