报告题目：Commutants and Von Neumann Algebras Associated with Multiplication Operators on the Bergman Space over the Annulus

报告时间：2022-11-25  14:30 - 15:30

报告人：黄寒松 教授  华东理工大学

腾讯会议ID：820-368-223

报告链接：https://meeting.tencent.com/dm/PUlcpeDIBTmU

Abstract：Thomson's theorem implies that on the Bergman space over the unit disk if h is holomorphic on the closed unit disk, then there is a finite Blaschke product B such that h can be written as a function of B, and the commutant of the multiplication operator M_h by h equals that of M_B . In this talk we will see that it is essentially generalized to the Bergman space over an annulus under a mild condition. The situation is complicated compared with the classical Bergman space over the unit disk. We also consider the associated reducing subspaces of concerned multiplication operator.