Research-An extension of Calderon-Zygmund type singular integral

Research

PDE Seminar

An extension of Calderon-Zygmund type singular integral

Speaker: Quansen Jiu (Capital Normal University)
Time: Nov 17, 2020, 10:00-11:00
Location: Tencent Meeting ID 531 777 947

Abstract: 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.