北航数学论坛学术报告
--- 分析、偏微分方程与动力系统讨论班(2024春季第19讲)
Fourier series and trace inequalities
贺丹青(复旦大学)
时间:2024年07月08日(周一)上午10:00-11:00
地点:沙河国实E404
摘要: The convergence of Fourier series is an important topic in harmonic analysis. The trace inequalities, which can be viewed as weighted restricition estimates, play an important role in establishing the pointwise convergence of Bochner-Riesz means. We developed this theory by establishing trace inequalities of cones with appropriate weights, which led to pointwise convergence of cone multipliers. This is joint work with P. Chen, X. Li, and L. Yan.
报告人简介: 贺丹青,复旦大学副教授,国家级青年人才。博士毕业于密苏里大学,师从世界著名调和分析专家L. Grafakos教授。主要研究调和分析中的双线性算子等问题,已在Adv. in Math., Math. Ann. 等国际著名期刊发表SCI论文十余篇。
邀请人:张安
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