An extension of Calderon-Zygmund type singular integral
Prof. Quansen Jiu
2023-10-17 16:00-17:00
MCM110
Speaker: Prof. Quansen Jiu (Capital Normal University)Time: 16:00-17:00 October 17, 2023 (Tuesday)
Place: MCM110
Title: An extension of Calderon-Zygmund type singular integral
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.
