太阳成集团tyc7111cc基础数学系学术报告
--- 分析与偏微分方程讨论班(2022春季第6讲)
题目: Riesz transform on exterior domains
报告人: 蒋仁进 （天津大学）
时间：2022-4-25 10：00-11：00 (周一上午)
地点: #腾讯会议：844-670-413
https://meeting.tencent.com/dm/BkuRdve84Vue
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. Briefly 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。
邀请人：张安
欢迎大家参加！
