分析和微分方程讨论班——On almost everywhere convergence of planar Bochner Riesz mean

报告人：吴澍坤（印第安纳大学）

时间：2025年5月21日，09:00-10:30

地点：海纳苑2幢202室

摘要：In this talk, I will survey the almost everywhere convergence problem for the Bochner-Riesz means, and discuss a recent result with Xiaochun Li, where we prove that the planar Bochner Riesz means converge almost everywhere for any L^p function in the optimal range, for 5/3<p<2. One main difficulty of this problem is a general lack of orthogonality in the radial direction for radial operators. In the setting of the maximal Bochner-Riesz operator, this is partially overcame by a weighted L^2 estimate, which may be of independent interest.

联系人：席亚昆（yakunxi@zju.edu.cn）