走向现代数学学术报告 - 周泽华教授（No. 832)

报告题目：The spectra of weighted composition operators on the holomorphic spaces

报告时间：2025年10月30日 10:00

腾讯会议ID：448-597-905

报 告 人：周泽华 教授（天津大学）

邀 请 人：朱剑峰 教授

报告摘要：The spectra of a weighted composition operator that is induced by an automorphism has been investigated for over fifty years. However, many results are got only under the condition that the weight function psi is continuous up to the boundary. In this talk, we frist give some recent results about the spectra of weighted composition operators induced by automorphisms on several Hilbert spaces, such as Hardy space and weighted Bergman spaces.. Then we study the spectra and essential spectra of the weighted composition operators on weighted Bergman spaces when varphi$is an elliptic automorphism, without the assumption that psi is continuous up to the boundary. At last, we also provide a complete description of the spectra of linear fractional composition operators acting on the growth space and Bloch space over the upper half plane.

报告人简介：周泽华，教授，博士生导师。曾任天津大学数学系主任，三个数学杂志编委。2005-1017年任教育部大学数学课程教学指导委员会委员，多次参加国家自然科学基金优青，以及重点项目的会评。国家级《数学与应用数学》特色专业建设负责人，国家级《数学分析》一流课程建设负责人。现任天津市数学会常务理事。研究方向：多复变与复几何；函数空间与算子理论; 线性动力系统。早期涉及多复变的值分布与dbar方程的研究。近年来，主要从事多复变函数空间与算子理论及线性动力系统等方面的研究。作为项目负责人承担国家自然科学基金项目9项，发表论文150多篇。主要结果发表在《Sbornik Mathematics》,《Math. Z》，《Michigan Math. J.》,《Indiana Univ. Math. J.》,中国科学等国际数学期刊上。