Weak $(1,1)$ estimate for maximal truncated rough singular integral operator

讲座题目：Weak $(1,1)$ estimate for maximal truncated rough singular integral operator  
讲座时间 Datetime: 2025年10月17日，周五，16:15-18：30
地点 Venue: 腾讯会议：257-935-569
主持人 Host：黄山林 教授
报告人 Speaker:赖旭东 教授
单位 Affiliation: 哈尔滨工业大学 
报告摘要 Abstract:
In their seminal work (Amer. J. Math.  78: 289-309, 1956),  Calder\'on and Zygmund introduced  the maximal truncated rough singular integral operator and established its $L^p$-boundedness for $1 < p < \infty$. However, the endpoint case $p = 1$ remained an open problem. In this talk, we show our recent result which resolves this problem. More precisely, we prove that the maximal truncated rough singular integral operator is of weak type $(1,1)$.
报告人简介：
赖旭东，哈尔滨工业大学数学研究院教授，国家优秀青年科学基金获得者。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。