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开云官方下载题目: Commutants and reducing subspaces of multiplication operators on the Bergman space over the annulus
报 告 人: 黄寒松 教授
开云官方下载人所在单位: 华东理工大学
开云官方下载日期: 2022-10-29
开云官方下载时间: 16:00-17:00
开云官方下载地点: 腾讯会议ID: 672-105-064, 密码: 888888
   
开云官方下载摘要:

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.

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本年度学院开云官方下载总序号: 592

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