Commuting Toeplitz operators with harmonic symbols on the Fock space
Jie Qin, Youqi Liu, Sui Huang
Abstract
We give a counterexample to a characterization of commuting Toeplitz operators due to Bauer, Choe, and Koo [JFA, 268 (2015), 3017--3060]. We prove a corrected characterization for Toeplitz operators with harmonic symbols of exponential type on the Fock space in one complex variable.
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