分析和微分方程讨论班——The dichotomy of Nikodym sets and local smoothing estimates for wave equations

报告人：陈铭峰（威斯康星麦迪逊分校）

时间：2024年6月12日，16:10-17:10

地点：海纳苑2幢202

摘要：In this talk, I will talk about maximal operator in the plane. After reviewing some classical results of Bourgain circular maximal theorem and Sogge’s cinematic curvature, I will focus on our result. We classify planar maximal functions: We find all the curves such that Nikodym sets exist, thus the maximal operator is not bounded on L^p for any p<∞; For other curves, we prove sharp L^p bound. This is based on joint work with Shaoming Guo.

联系人：席亚昆（yakunxi@zju.edu.cn）