报告题目: Riesz transform on exterior domains
报告人:蒋仁进 教授
时 间:2022 年 4 月 29 日 (周五)上午 09:00--10:00。
腾讯会议号:762-7964-8189,线下地点: 理学院A4-311
报告摘要:Riesz transform on bounded domains as well as complete manifolds/metric spaces have been widely studied. However, not much has been known for the case of exterior domain. In this talk, we report some recent progress in this direction. Briey speaking, we give an almost complete solution to this problem, which also confirms some conjectures from Auscher et al. Math. Ann. 2001 and Hassell et. al. IUMJ 2009.
报告人简介:
蒋仁进,天津大学教授,从事调和分析与度量几何领域的研究。给出了调和函数的Yau梯度估计、热核Li-Yau不等式及Riesz变换有界性特征刻画,与周不等式的内蕴关联。这些成果巧妙解决了Strichartz 1983年以及Hassell等2006年提出的著名公开问题。成果发表于Comm. Pure Appl. Math.、J. Math. Pures. Appl.、Math. Ann.、Adv. Math.等数学顶级期刊。
联系人: 郑涛
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理学院应用数学研究所
2022年4月28日