一、报告题目:Maximal Bochner-Riesz revisited
二、报告人:贺丹青 副教授
三、报告时 间:2026年06月11日周四 15:30-16:30
四、腾讯会议:478-161-350
报告摘要:The boundedness of Bochner-Riesz means is one of the central problems in modern harmonic analysis, and is closely related to several important conjectures, including the restriction conjecture and the Kakeya conjecture. The maximal Bochner-Riesz operator, motivated by the pointwise convergence of Bochner-Riesz means, was studied extensively since Stein’s foundational work. In this talk, we introduce an annular inequality to study the maximal Bochner-Riesz operator, and give a new proof of its boundedness in the plane. We will also discuss some new results on maximal cone multipliers. This is joint work with Sian Fang and Xiaochun Li.
报告人简介:贺丹青,复旦大学副教授。主要从事调和分析中算子有界性的研究,研究成果包括多线性奇异积分算子的有界性、多线性乘子的有界性、锥乘子的点态收敛性。相关成果发表于Advances in Mathematics、Mathematische Annalen、Transactions of the American Mathematical Society等期刊,并获得国家自然科学基金优秀青年科学基金项目、重点研发计划青年科学家项目、上海市启明星项目的资助。
欢迎大家参加!联系人:数学与交叉科学研究院 调和分析团队