A sharp square function estimate for the moment curve in $\mathbb{R}^{3}$

IF 2.6 1区数学 Q1 MATHEMATICS

Inventiones mathematicae Pub Date : 2024-08-05 DOI:10.1007/s00222-024-01282-0

Dominique Maldague

引用次数: 0

Abstract

We prove a sharp (up to $C_{\varepsilon }R^{\varepsilon }$) $L^{7}$ square function estimate for the moment curve in $\mathbb{R}^{3}$.

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$\mathbb{R}^{3}$中矩曲线的锐平方函数估计值

我们证明了在$\mathbb{R}^{3}$中矩形曲线的一个尖锐的（直到$C_{\varepsilon }R^{\varepsilon }$$L^{7}$中矩曲线的平方函数估计。

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

Inventiones mathematicae 数学-数学

CiteScore

5.60

自引率

3.20%

发文量

审稿时长

12 months

期刊介绍： This journal is published at frequent intervals to bring out new contributions to mathematics. It is a policy of the journal to publish papers within four months of acceptance. Once a paper is accepted it goes immediately into production and no changes can be made by the author(s).