数学学科2019系列学术报告之十九

题目：Compactness of linear combinations of compositionoperators

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, studyon linear combinations of composition operators has been a topic of growinginterest. In this talk, we completely characterize the compactness of anylinear combination of composition operators with general symbols on theweighted Bergman spaces in two classical terms: one is a function theoreticcharacterization of Julia-Carath/'eodory type and the other is a measuretheoretic characterization of Carleson type. Our approach is completelydifferent from what have been known so far.