报告题目：Noncommutative weak (1,1) type estimate of a square function from ergodic theory
报告人：洪桂祥教授
报告时间：2020年1月7日15:30——17:00
报告地点：理学院10号教学楼415会议室
报告摘要：In this talk, I shall present our recent result on the mapping properties of a square function from ergodic theory on noncommutative Lp-spaces. The main result is a weak (1,1) type estimate of this noncommutative square function.We also show (L∞,BMO) estimate, and obtain strong (Lp, Lp) estimate by interpolation. The main difficulty lies at the fact that the kernel of this square function does not enjoy any regularity, which will be overcome by the almost orthogonality principle and some delicate analysis of the kernel.
报告人简介：洪桂祥，武汉大学数学与统计学院教授，研究方向为调和分析与非交换分析及相关领域。博士毕业于法国弗朗什－孔泰大学。2015年加盟武汉大学，2016年入选国家海外人才引进计划。至今在Communications in Mathematical Physics, Analysis and PDE, Journal of Functional Analysis，Revista Matematica Iberoamericana和International Mathematics Research Notices等国际重要数学期刊上发表了多篇论文。
理学院
2020年1月6日
