Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2015-04-01

Journal: ACTA MATHEMATICA SINICA-ENGLISH SERIES

Included Journals: Scopus、ISTIC、SCIE

Volume: 31

Issue: 4

Page Number: 695-702

ISSN: 1439-8516

Key Words: Commuting Toeplitz operators; Hardy space; polydisk; Berezin transform

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.