Weak （1,1）bound for the noncommutative Calder\'on-Zygmund operator
数学学科创建110周年系列报告
报告题目(Title)：Weak （1,1）bound for the noncommutative Calder\'on-Zygmund operator
报告人(Speaker)：赖旭东 (哈尔滨工业大学)
地点(Place)：#腾讯会议：768399847
时间(Time)：2025年7月18日（星期五），14:30-15:30
邀请人(Inviter)：薛庆营
报告摘要
Inspired by operator algebras, harmonic analysis, noncommutative geometry and quantum probability, the noncommutative Calder\'on-Zygmund theory develops fastly and has potential applications. In this talk, we introduce some noncommutative Calder\'on-Zygmund theory in this direction, in paticular the noncommutative weak type (1,1) theory. We will show that by modifying the noncommutative Calder\on-Zygmund decomposition, the L2-mean H\”ormander condition of the kernel could guarantee the noncommutative weak (1,1) bound for the Calder\'on-Zygmund operator which improves our previous results. Morever, even for some noncommutative rough Calder\'on-Zygmund operators, the weak (1,1) bound can be obtained.
主讲人简介
赖旭东，哈尔滨工业大学数学研究院教授，博导，国家优秀青年科学基金获得者，获2022年教育部自然科学奖二等奖。主要研究方向为经典与非交换调和分析及其应用，在Comm. Math. Phys., Math. Ann., Adv. Math.等国际高水平杂志发表论文二十余篇。先后主持国家自然科学基金青年基金、面上项目和优秀青年科学基金项目。
