報(bào)告時(shí)間:2020年7月28日(星期二)上午9:30-12:00
報(bào)告地點(diǎn):騰訊會(huì)議 會(huì)議號(hào):800508413
報(bào)告題目:Linear combinations of composition operators on Bergman spaces
邀請(qǐng)嘉賓:王茂發(fā) 教授(武漢大學(xué))
報(bào)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.
嘉賓簡介:王茂發(fā),武漢大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院教授, 博士生導(dǎo)師。主要研究方向是泛函分析及其應(yīng)用, 特別在函數(shù)空間上的算子理論方面取得了豐碩的系列成果。多次承擔(dān)國家高技術(shù)發(fā)展計(jì)劃(863計(jì)劃)項(xiàng)目、國家基金委重點(diǎn)、面上和教育部等項(xiàng)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.等國際著名期刊上發(fā)表SCI學(xué)術(shù)論文50余篇。