报告题目：
Almost everywhere convergence of Bochner-Riesz means for the Hermite operators
报 告 人：颜立新
工作单位：中山大学数学系
报告时间：2022-05-05 10:00-12:00；
腾讯会议ID：406-520-643
报告摘要：
In this talk we will discuss almost everywhere convergence of Bochner-Riesz means for the Hermite operator H = −∆+ |x|2 in Rn . Surprisingly, for the dimensions n ≥2 our result reduces the borderline summability index for a.e. convergence for f∈Lp(R) with p ≥2 as small as only half of the critical index required for a.e. convergence of the classical Bochner-Riesz means for the Laplacian. When n = 1, we show a.e. convergence holds for f∈Lp(R) with p ≥2 whenever λ> 0. Compared with the classical result due to Askey and Wainger, we only need smaller summability index for a.e. convergence. This is a joint work with P. Chen, X.T. Duong, D.Q. He and S. Lee.
报告人简介：
颜立新，教授，博士生导师，主要从事调和分析领域的研究，已在J. Amer. Math. Soc., Comm. Pure Appl. Math., Memoirs of AMS, Math. Ann., J. Math. Pures Appl., Adv Math. 等数学期刊发表学术论文八十余篇。
