Speaker：Zhangjian Hu（Huzhou Normal University）

Time：2021-05-25 10:40

Location：Conference Room 106 at Experiment Building at Haiyun Campus

Abstract:

We introduce a new space IDA of locally integrable functions whose integral distance to holomorphic functions is finite. By using IDA and dbar-estimates, we characterize boundedness and compactness of Hankel operators on weighted Fock spaces in C^n.As an application, for bounded symbols, we show that the Hankel operator H_f is compact if and only if H_ {\bar f} is compact, which complements the classical compactness result of Berger and Coburn. We also apply our results to the Berezin-Toeplitz quantization and answer a related question of Bauer and Coburn.