學術信息

數學學科2020系列學術報告之九

來源:數學學科 發布日期:2020-09-22

報告人:王茂發, 武漢大學

題目:Linear combinations of composition operators on Bergman spaces

時間:2020-09-24  10:00-11:00

地點: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. 

 

報告人簡介:王茂發, 武漢大學數學與統計學院教授, 博士生導師. 主要研究方向是泛函分析及其相關應用, 特別在函數空間上算子理論方面取得了些系列成果. 多次承擔國家自然科學基金委重點項目、面上項目、青年項目和教育部項目等, 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等國際知名期刊上發表學術論文60余篇.