Speaker：Zhenguo Wei (Institute of Mathematical Sciences (Spain))

Time：2026-1-28 16:00

Location：Conference Room S106 at Experiment Building at Haiyun Campus

Abstract:

We focus on the study of the Schatten class membership of commutators involving singular integral operators. We utilize martingale paraproducts and Hytönen's dyadic martingale technique to obtain sufficient conditions on the weak-type and strong-type Schatten class membership of commutators in terms of Sobolev spaces and Besov spaces respectively. We also establish the complex median method, which is applicable to complex-valued functions. We apply it to get the optimal necessary conditions on the weak-type and strong-type Schatten class membership of commutators associated with non-degenerate kernels. This is a joint work with Hao Zhang.