Mixed products of Toeplitz and Hankel operators on the Fock space,

Release time:2018-12-08

Journal:Journal of Operator Theory

Key Words:Hankel operators, Toeplitz operators, Fock space, Berezin transform

Abstract:For entire functions $f$ and $g$ we determine exactly when the product $\htprod$ of the Hankel operator $H_{\overline f}$ and the Toeplitz operator $T_{\overline g}$ is bounded on the Fock space $\fta$. This solves a natural companion to Sarason's Toeplitz product problem posed in \cite{Sa}.

Note: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).

Co-author:Kehe Zhu, Dechao Zheng, Fugang Yan, Pan Ma

Indexed by:Unit Twenty Basic Research

Discipline:数学

Volume:84

Issue:1

Page Number:35-47

Translation or Not:no

Date of Publication:2020-06-15

Included Journals:SCI