一、题目

Toeplitz quantization and trace formulas on weighted Bergman spaces of the unit ball

二、主讲人

王奕

三、摘要

Using a variant of the Bochner-Martinelli formula, we obtain formulas involving reproducing kernels of the weighted Bergman spaces and the Hardy space. As an application, we obtain explicit formulas of the trace of semicommutators T_fT_g-T_fg on these spaces. Also, an explicit formula for the Toeplitz quantization and Berezin quantization on the unit ball is obtained. We also prove that, analogous to the Helton-Howe trace formula, a partial antisymmetrization of 2n Toeplitz operators with smooth symbols is in the trace class. Then we give the limit of the trace.

四、主讲人简介

王奕，范德堡大学数学系博士后，NSF基金获得者，主要研究方向为算子理论、调和分析和多复变，特别是解析函数空间上的算子理论。她在解析函数空间的子模、商模的本质正规性及相关几何不变量上取得了许多重要成果。

五、邀请人

赵翀 数学学院副教授

六、时间

8月25日（周三）9:00

七、地点

腾讯会议 会议号：723763131

八、主办方

山东大学数学学院