An extension of Calderon-Zygmund type singular integral
数学专题报告
报告题目(Title)：An extension of Calderon-Zygmund type singular integral
报告人(Speaker)：酒全森 教授，首都师范大学数学科学学院
地点(Place)：腾讯会议号：472-433-567
时间(Time)：2022年7月14日上午10:30—11:30
邀请人(Inviter)：许孝精
报告摘要
In this talk, we will present a kind of singular integral which can be viewed as an extension of the classical Calderon-Zygmund type singular integral. We establish an estimate of the singular integral in the $L^q$ space for $1 < q < \infty$. In particular, the Calderon-Zygmund estimate can be recovered from our obtained estimate. The proof of our main result is via the so called "geometric approach". We will also present an application of this type singular integral in the approximation of surface quasi-geostrophic (SQG) equation.
