报告人：郑德超教授

报告时间：2021年7月25日 9：00-11：00

报告地点：腾讯会议

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 L∞ is indeed generated by Toeplitz operators with symbols which on uniformly continuous on C n. This is a joint work with Shengkun Wu at Chongqing University.

邀请人：侯绳照