The pluriharmonic Toeplitz operators on the polydisk

Authors
Ding, XH Tang, SQ
Citation
Xh. Ding et Sq. Tang, The pluriharmonic Toeplitz operators on the polydisk, J MATH ANAL, 254(1), 2001, pp. 233-246
Citations number
8
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
254
Issue
1
Year of publication
2001
Pages
233 - 246
Database
ISI
SICI code
0022-247X(20010201)254:1<233:TPTOOT>2.0.ZU;2-L
Abstract
In this paper we completely characterize the compact semi-commutator of two Toeplitz operators with bounded pluriharmonic symbols on the Bergman space of the polydisk. Several necessary and sufficient conditions are obtained for the commutator of two Toeplitz operators with bounded pluriharmonic sym bols on the polydisk to be compact. (C) 2001 Academic Press.