20220827 李海绸 Composition operators on Dirichlet spaces over the half-plane

报告标题: Composition operators on Dirichlet spaces over the half-plane

报告人：李海绸（华南农业大学）

邀请人：张雅山

时间：2022年8月27日，8:30-9:30

地点：腾讯会议ID: 825 637 464，密码: 5766

摘要：As continuation of the study of polynomial approximation and composition operators on Dirichlet spaces of unit disk, which has settled a problem posed by Cima in 1976, the present paper aims to consider the case of the unbounded domains, such as the half-plane. Specifically, we may obtain the rational approximations in the Dirichlet spaces and characterize the composition operators which has dense range on the Dirichlet spaces over the half-plane. Moreover, this paper also considers the relationship between the Dirichlet spaces and Hardy spaces on half-plane.