报告人：王茂发, 武汉大学
题目：Linear combinations of composition operators on Bergman spaces
时间：2020-09-24 10：00-11：00
地点：1-301
摘要：Motivated by the question of Shapiro and Sundberg raised in 1990, the study on linear combinations of composition operators has been a topic of growing interest. In this talk, we completely characterize the compactness of any linear combination of composition operators with general symbols on the weighted Bergman spaces in terms of three different point views: one is a function theoretic characterization of Julia-Caratheodory type, the second is a measure theoretic characterization of Carleson type, and the other is of power type characterization. Our approach is completely different from what have been known so far.
报告人简介：王茂发, 武汉大学数学与统计学院教授, 博士生导师. 主要研究方向是泛函分析及其相关应用, 特别在函数空间上算子理论方面取得了些系列成果. 多次承担国家自然科学基金委重点项目、面上项目、青年项目和教育部项目等, 已在J Funct Anal、Math Z、Indiana Uni J Math、 Results Math、Proc Amer Math Soc、J Math Anal Appl、J Operator Theory、Arch Math (Basel)、Sci China Math等国际知名期刊上发表学术论文60余篇.
