Commuting Toeplitz operators on the hardy space of the polydisk

Authors
Kong, Ling Hui Lu, Yu Feng
Citation
Kong, Ling Hui et Lu, Yu Feng, Commuting Toeplitz operators on the hardy space of the polydisk, Acta mathematica Sinica. English series (Print) , 31(4), 2015, pp. 695-702
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
31
Issue
4
Year of publication
2015
Pages
695 - 702
Database
ACNP
SICI code
Abstract
In this paper, we show that two Toeplitz operators T f and T g on the Hardy space of the polydisk can commute if and only if the Berezin transform of the commutator [T f , T g ] is n-harmonic.