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现代分析及其应用研究所学术报告(赖旭东教授,哈尔滨工业大学)

来源:系统管理员 发布时间:2025-12-12

报告题目:WEAK (1, 1) ESTIMATES FOR MAXIMAL TRUNCATED ROUGH SINGULAR INTEGRAL OPERATORS系列讲座

报告人:赖旭东教授,哈尔滨工业大学

报告时间:20251216、17、18日(周二、周三、周四)18:00-20:30

报告地点:20-306

报告摘要: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 present our recent result which resolves this problem. This talk includes three parts:Firstly we introduce some backgrounds and some basic techniques;Secondly we showthe linearization of the maximal operator;Finally the proof of the estimates for the linearized operator will be given.

报告人简介:赖旭东,现为哈尔滨工业大学数学研究院教授,博导,国家级青年人才,曾获2022年教育部自然科学奖二等奖(4/4)。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20余篇