The Boundedness for Products of Hankel operators on the Fock space
发布时间：2023年05月01日
浏览次数：2555
发布者: Biao Ma
主讲人： 范俊美（PKU）
活动时间： 从 2023-05-08 15:00 到 16:30
场地： 北京国际数学研究中心，全斋全29教室
We study the Sarason's problem for corresponding Hankel product problem on the Fock space. We completely characterize the boundedness of the Hankel product when one symbol is a finite linear combination of reproducing kernel functions and the other is a polynomial. Moreover, a necessary and sufficient condition to the boundedness of the Hankel product is proposed for the case that one symbol is the product of a linear combination of reproducing kernels and a polynomial. We also use a different method to reprove the semi-commutating Toeplitz operators on the Fock space.
