报告题目 (Title):紧流形上振荡积分算子的极大估计
报告人 (Speaker):范大山 教授(美国威斯康辛大学密尔沃基分校)
报告时间 (Time):2023年5月3日(周三) 上午10:00-11:00
报告地点 (Place):校本部F309
邀请人(Inviter):赵发友 教授
主办部门:理学院 数学系
报告摘要:Let M be an n-dimensional compact Riemann manifold. We study an oscillatory operator and obtain its maximal estimate on Lp and Hp. Particularly, we obtain the sharp estimate on L1 case and Hp case for p less than 1. As an application, we obtain the almost everywhere convergence and approximation property. This is a joint work with Jiecheng Chen, ziyao Liu and Fayou Zhao.