{"title":"一个尖锐的平方函数估计的圆锥在∈3中","authors":"L. Guth, Hong Wang, Ruixiang Zhang","doi":"10.4007/annals.2020.192.2.6","DOIUrl":null,"url":null,"abstract":"We prove a sharp square function estimate for the cone in $\\mathbb{R}^3$ and consequently the local smoothing conjecture for the wave equation in $2+1$ dimensions.","PeriodicalId":8451,"journal":{"name":"arXiv: Classical Analysis and ODEs","volume":"41 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"59","resultStr":"{\"title\":\"A sharp square function estimate for the cone in\\n ℝ3\",\"authors\":\"L. Guth, Hong Wang, Ruixiang Zhang\",\"doi\":\"10.4007/annals.2020.192.2.6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove a sharp square function estimate for the cone in $\\\\mathbb{R}^3$ and consequently the local smoothing conjecture for the wave equation in $2+1$ dimensions.\",\"PeriodicalId\":8451,\"journal\":{\"name\":\"arXiv: Classical Analysis and ODEs\",\"volume\":\"41 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-09-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"59\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Classical Analysis and ODEs\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4007/annals.2020.192.2.6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Classical Analysis and ODEs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4007/annals.2020.192.2.6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A sharp square function estimate for the cone in
ℝ3
We prove a sharp square function estimate for the cone in $\mathbb{R}^3$ and consequently the local smoothing conjecture for the wave equation in $2+1$ dimensions.
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