Speaker: Wang Xiaofeng, professor and doctoral supervisor, Guangzhou University

Date: November 26, 2024

Time: 15:00-16:00 pm

Location: Tencent Meeting: 104 955 511

Sponsor: School of Mathematics, Shandong University

Abstract:

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 operators acting 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 nonincreasing rearrangement of mean oscillation function. Moreover, in the weighted Fock spaces, we demonstrate the Berger-Coburn phenomenon concerning the membership of Hankel operators in the weak Schatten class.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/197304.htm