{"title":"A short proof of ℓ2 decoupling for the moment curve","authors":"LI Zanekun, Po-Lam Yung, Pavel Zorin-Kranich","doi":"10.1353/ajm.2021.0048","DOIUrl":null,"url":null,"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.","PeriodicalId":7453,"journal":{"name":"American Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7000,"publicationDate":"2019-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"American Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1353/ajm.2021.0048","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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.
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.
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