报告题目 (Title)：Why finite Blaschke products prefer two-component Riemann surfaces
中文标题：为什么有限 Blaschke 积主要考虑两个成分的黎曼曲面
报告人 (Speaker)：黄寒松（华东理工大学）
报告时间 (Time)：2024年11月22日(周五) 17:00
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：席东盟、李晋、吴加勇
报告摘要：Cowen and Thomson's remarkable on analytic Toeplitz operators says that on the Bergman space over the unit disk, under some mild condition a bounded holomorphic function h on \mathbb{D}, can be written as a function of a finite Blaschke product $B$ such that the commutant of the Toeplitz operator defined by h equals that of the Toeplitz operator defined by B; that is, {M_h}'={M_B}'. In particular, this holds if h lies in Hol(\overline{\mathbb{D}}). From a geometric approach, we discuss properties concerning irreducibility for the classes of multiplication operators of finite Blaschke product, and also give nontrivial applications to the Dirichlet space.