学术信息

数学学科2022系列学术报告之三十一

来源:太阳成集团tyc234cc 发布日期:2022-12-19

报告人: 潘五屹

题目: Fixed points of the maximal operator in metric measure space

时间:2022年12月22日(周四),上午10:00-11:00

地点:线上,腾讯会议ID:278-974-673,会议密码:1222

 

报告摘要:

In this talk I will discuss the existence of fixed points of the maximal operator in the more general settings of metric measure space.

I will present the definition and basic properties of metric measure spaces and the corresponding maximal operators etc. Finally I will prove that the fixed points of the uncentered one with respect to any measure must be the constant function if the space admits a Heine–Borel metric. This talk is based on a recent joint work with Prof. Dong Xin-Han.

报告人简介:潘五屹,湖南师范大学数学与统计学院在读博士。研究方向为分形几何与度量几何。