New bounds for Stein's square functions in higher dimensions

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-05-14 DOI:10.1016/j.aim.2025.110342

Shengwen Gan , Changkeun Oh , Shukun Wu

引用次数: 0

Abstract

We improve the

L^{p} (R^{n})

bounds on Stein's square function to the best-known range of the Fourier restriction problem when

n \geq 4

. Applications, including certain local smoothing estimates, are also discussed.

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高维斯坦因平方函数的新边界

当n≥4时，我们将Stein平方函数的Lp（Rn）界改进为傅里叶限制问题中最著名的范围。应用，包括某些局部平滑估计，也进行了讨论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.