A sharp square function estimate for the cone in R3

• 成果类型: Article
• 署名作者: Guth, Larry; Wang, Hong; Zhang, Ruixiang
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2020.192.2.6
• 发表日期: 2020
• 页码: 551-581
• 关键词: fourier multipliers; l-p; averages; CURVES; bounds

摘要

We prove a sharp square function estimate for the cone in R-3 and consequently the local smoothing conjecture for the wave equation in 2 + 1 dimensions.