报告人：郑德超
报告地点：腾讯会议ID:767 964 641
报告时间：2021年06月25日星期五10:30-11:30
邀请人：段永江
报告摘要：
In this talk I will talk about Toeplitz operators on the Fock space via the Fourier transform. In sprite by Berger-Coburn theorems and their conjecture on the bounded Toeplitz operators, we use the Fourier transform to decompose Tg as an infinite sum of Toeplitz operators with symbols which have compact support in the frequency domain. As a consequence, we obtain a sufficient condition for Tg to be bounded in terms of the Carleson measure conditions defined by the heat transform of the symbol g. Moreover the decomposition of a Toeplitz operator leads us to get easily understanding that for a bounded function g, if its Berezin transform vanishes at infinity, then the Toeplitz operator Tg is compact and the Toeplitz algebra generated by Toeplitz operators with symbols in L1 is indeed generated by Toeplitz operators with symbols which on uniformly continuous on Cn. This is a joint work with Shengkun Wu at Chongqing University.
会议密码：654321
主讲人简介：
郑德超, 美国范德堡大学(Vanderbilt University)教授，国际著名算子论专家。研究方向为：函数空间上的算子理论、算子代数、调和分析。其研究成果主要发表在：J. Reine Angew. Math.，Math. Ann.， Adv. Math.，J. Funct. Anal., Trans. Amer. Math. Soc.等国际权威数学期刊上。
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