標題：Asymptotic Behavior of Singular Values of Some Operators on Weighted Bergman Spaces
報告時間：2024年11月28日（星期四）14：00-15：00
報告地點：線上騰訊會議（會議ID：224-547-321，會議密碼：241128）
主講人：王曉峰
主辦單位：數學與統計學院
報告內容簡介：
In this talk, I will report some recent researches on the asymptotic behavior of singular values of some operators on a large class of weighted Bergman spaces, including Toeplitz operators, Hankel operators and composition operators. We use the non-increasing rearrangement of IDA function with respect to a suitable measure to characterize the asymptotic behavior of the singular values sequence of Hankel operatorsacting on a large class of weighted Bergman spaces. As a corollary, we show that the simultaneous asymptotic behavior of and can be characterized in terms of the asymptotic behavior of non-increasing rearrange-ment of mean oscillation function. Moreover, in the weighted Fock spaces, we demon -strate the Berger-Coburn phenomenon concerning the membership of Hankel opera-tors in the weak Schatten class.
主講人簡介：
王曉峰，廣州大學數學與信息科學學院教授、博士生導師。長期從事基礎數學研究工作，主要研究方向為算子理論與算子代數。曾到美國進行一年的學術訪問，研究成果發表于Math. Z.，J. Geom. Anal., J. Oper. Theo., 中國科學等及被Trans. AMS錄用，先后主持國家自然科學基金4項，獲得過霍英東青年教師獎、廣州市優秀教師等榮譽。
