发表刊物：Journal of Functional Analysis

关键字：Hankel operators, Toeplitz operators, Fock space, Berezin transform

摘要：For entire functions f and g we study the problem of when the Hankel product H f Hg is bounded or compact on the Fock space F2. This is a companion to Sarason's Toeplitz product problem which was completely solved for the Fock space by Cho-Park-Zhu in 2014. Surprisingly, our results here are different from the natural conjectures motivated by the Toeplitz product problem.

备注：The paper is joint work with Dr. Fugang Yan (Chongqing University), Professor Dechao Zheng (Vanderbilt University& Chongqing University)，Professor Kehe Zhu(State University of New York at Albany).

合写作者：Kehe Zhu, Dechao Zheng, Fugang Yan, Pan Ma

论文类型：基础研究

学科门类：数学

卷号：277

期号：8

页面范围：2644-2663

是否译文：否

发表时间：2019-05-31