一、报告题目

Exotic Calderon--Zygmund operators

二、主讲人

李康伟

三、报告时间

2022年4月1日 14：30 - 15：30

四、报告地点

腾讯会议 ID: 130 957 614

五、摘要

In this talk, I will introduce a class of singular integral operators with kernels that are more singular than standard Calderon--Zygmund kernels, but less singular than bi-parameter product Calderon--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 Calderon--Zygmund kernels.

六、主讲人简介

李康伟，天津大学应用数学中心教授，博士生导师。主要从事调和分析方向的研究，主持或参与国家自然基金委项目和十四五科技部重点研发计划青年科学家项目，在Adv. Math., Math. Ann., J. Math. Pure. Appl., Tran. Amer. Math. Soc., J. Funct. Anal.等国际期刊上发表论文40余篇。

七、主办单位

非线性期望前沿科学中心

数学与交叉科学研究中心