Hits:

Indexed by:期刊论文

Date of Publication:2015-04-01

Journal:ACTA MATHEMATICA SINICA-ENGLISH SERIES

Included Journals:SCIE、ISTIC、Scopus

Volume:31

Issue:4

Page Number:695-702

ISSN No.: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.