湖州师范学院党委宣传部、新闻中心主办

数学学科2019系列学术报告之十九

来源:理学院 发布日期:2019-11-07

题目:Compactness of linear combinations of composition operators

报告人:王茂发教授 (武汉大学,博士生导师)

时  间:11月11日(周一)下午15:30-16:30

地  点:1-301

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 two classical terms: one is a function theoretic characterization of Julia-Carath\'eodory type and the other is a measure theoretic characterization of Carleson type. Our approach is completely different from what have been known so far.