【和山数学论坛262期】天津大学李康伟研究员

信息来源:88858cc永利官网   点击次数:  发布时间:2021-12-09

 

 目Exotic Calder\'on--Zygmund operators

主讲人天津大学李康伟研究员

 间20211211()1000-1050
 点腾讯会议ID788 874 160

会议列表:https://meeting.tencent.com/dm/ZTpBtTecaDL2

报告摘要In this talk, I will introduce a class of singular integral operators with kernels that are more singular than standard Calder\'on--Zygmund kernels, but less singular than bi-parameter product Calder\'on--Zygmund kernels. These kernels arise as restrictions to two dimensions of certain three-dimensional kernels adapted to so-called Zygmund dilations, which is part of our motivation for studying these objects. We show that such kernels can, in many ways, be seen as part of the extended realm of standard kernels by proving that they satisfy both a $T1$ theorem and commutator estimates in a form reminiscent of the corresponding results for standard Calder\'on--Zygmund kernels.

报告人简介李康伟,研究员。本科毕业于南开大学陈省身数学试点班,20156月于南开大学获博士学位。20158-20198月先后在芬兰赫尔辛基大学、西班牙巴斯克应用数学中心从事博士后研究。201912月至今在天津大学工作。研究方向为调和分析,主要包括小波分析、奇异积分算子理论及其加权理论。解决了多线性权的外推定理这一长达10年的公开问题,解决了Cruz-Uribe, Martell, Perez 2005年在IMRN上提出的极大函数算子的混合弱型估计的猜想,建立了一般的多线性多参数奇异积分算子理论。已在 J. Math. Pures. Appl., Adv. Math., Math. Ann., IMRN, Trans. AMS, J. Funct. Anal. 等期刊发表论文40余篇

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