Products of Hankel operators on the Fock space,
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- 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
