Products of Hankel operators on the Fock space,

Release time:2018-09-04

Journal:Journal of Functional Analysis

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

Abstract: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.

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:277

Issue:8

Page Number:2644-2663

Translation or Not:no

Date of Publication:2019-05-31