Commutators are well-known as generalizations of Hankel type operators. In this talk, we are concerned with the Schatten class membership of commutators involving nondegenerate singular integral operators. We describe their Schatten class membership in terms of Besov spaces. Our approach is based on the dyadic representation theorem of singular integral operators and the complex median method. If time permits, I will also introduce the endpoint estimate of the weak-type Schatten class of commutators.

报告人简介：张昊，美国伊利诺伊大学香槟分校研究助理教授。研究方向为泛函分析和调和分析