江苏省应用数学（集团）中心系列学术报告

报告题目：Products and commutators of martingales in H_1 and BMO

报告人：谢广亨副教授

报告时间：2023/11/09 (周四) 16:00-17:00

报告地点：腾讯会议907576000

报告摘要：In this talk, I will review some recent results on bilinear decomposition in martingale setting. As an application, we establish the endpoint estimates of martingale commutators. This allow us to give more applications. On the one hand, in the martingale setting, we obtain the endpoint estimates of commutators for both martingale transforms and  martingale fractional integrals. On the other hand, in harmonic analysis, we establish the endpoint estimates of commutators both for the dyadic Hilbert transform beyond doubling measures and for the maximal operator of Ces\`{a}ro means of Walsh--Fourier series.

报告人简介：谢广亨，中南大学数学与统计公司副教授，硕士生导师，2019年博士毕业于北京师范大学。谢广亨主要从事鞅空间理论、函数空间理论和非交换分析等方面的研究，已在J. Math. Pures Appl.、Int. Math. Res. Not.、J. Funct. Anal.和Math. Z.等国际主流数学期刊上发表或接受发表20篇论文。主持国家自然科学基金、中国博士后基金和湖南省自然科学基金共3项，获2021年湖南省自然科学一等奖(排名4/4)。