国家天元数学中部中心偏微分方程系列报告 | 酒全森 教授(首都师范大学)

发布时间: 2020-11-16 16:40

报告题目:An Extension of Calderon-Zygmund Type Singular Integral

报告人:酒全森 教授(首都师范大学)

报告时间:2020-12-04 09:30-10:30

腾讯会议ID:759 567 357

报告入口:https://meeting.tencent.com/s/xE2wZfXeBolO

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 Lq space for 1<q<∞. 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.