报告时间:2020年7月28日(星期二)上午9:30-12:00
报告地点:腾讯会议 会议号:800508413
报告题目:Linear combinations of composition operators on Bergman spaces
邀请嘉宾:王茂发 教授(武汉大学)
报告摘要:Motivated by the question of Shapiro and Sundberg raised in 1990, 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.
嘉宾简介: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应用, 特别在函数空间上的算子理论方面取得了丰硕的系列成果。多次承担国家高技术发展计划(863计划)项目、国家基金委重点、面上和教育部等项目, 已在Math Z、J Funct Anal、Sci. China Math、Indiana Uni J Math、J Operator Theory、J Math Anal Appl、Arch Math (Basel)、Banach J. Math. Anal、Complex Var Elliptic Equ、Complex Anal. Oper. Theory 、Ann. Funct. Anal.等国际著名期刊上发表SCI学术论文50余篇。