COMMUTING TOEPLITZ-OPERATORS WITH PLURIHARMONIC SYMBOLS

Authors
ZHENG DC
Citation
Dc. Zheng, COMMUTING TOEPLITZ-OPERATORS WITH PLURIHARMONIC SYMBOLS, Transactions of the American Mathematical Society, 350(4), 1998, pp. 1595-1618
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
350
Issue
4
Year of publication
1998
Pages
1595 - 1618
Database
ISI
SICI code
0002-9947(1998)350:4<1595:CTWPS>2.0.ZU;2-U
Abstract
By making use of M-harmonic function theory, we characterize commuting Toeplitz operators with bounded pluriharmonic symbols on the Bergman space of the unit ball or on the Hardy space of the unit sphere in n-d imensional complex space.