A short proof of ℓ2 decoupling for the moment curve

IF 1.7 1区数学 Q1 MATHEMATICS

American Journal of Mathematics Pub Date : 2019-12-20 DOI:10.1353/ajm.2021.0048

LI Zanekun, Po-Lam Yung, Pavel Zorin-Kranich

引用次数: 14

Abstract

abstract:We give a short and elementary proof of the $\ell^{2}$ decoupling inequality for the moment curve in $\hat{\Bbb{R}}^k$, using a bilinear approach inspired by the nested efficient congruencing argument of Wooley.

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对于力矩曲线，一个关于l2解耦的简短证明

利用Wooley的嵌套有效同余论证启发的双线性方法，对$\hat{\Bbb{R}}^k$中的矩曲线$\ell^{2}$解耦不等式给出了一个简短的初等证明。

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

American Journal of Mathematics 数学-数学

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field. Published since 1878, the Journal has earned its reputation by presenting pioneering mathematical papers. It does not specialize, but instead publishes articles of broad appeal covering the major areas of contemporary mathematics. The American Journal of Mathematics is used as a basic reference work in academic libraries, both in the United States and abroad.