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arXiv · 2108.11567

New bounds for Stein's square functions in higher dimensions

Shengwen Gan·Changkeun Oh·Shukun Wu
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Abstract

We improve the $L^p(\mathbb{R}^n)$ bounds on Stein's square function to the best-known range of the Fourier restriction problem when $n\geq4$. Applications including certain local smoothing estimates are also discussed.

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Shengwen Gan, Changkeun Oh, Shukun Wu. 2021-08-26. New bounds for Stein's square functions in higher dimensions. https://arxiv.org/abs/2108.11567

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