TOEPLITZ-OPERATORS ON HARMONIC BERGMAN SPACES

Authors
MIAO J
Citation
J. Miao, TOEPLITZ-OPERATORS ON HARMONIC BERGMAN SPACES, Integral equations and operator theory, 27(4), 1997, pp. 426-438
Citations number
14
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics
Journal title
Integral equations and operator theory → ACNP
ISSN journal
0378620X
Volume
27
Issue
4
Year of publication
1997
Pages
426 - 438
Database
ISI
SICI code
0378-620X(1997)27:4<426:TOHBS>2.0.ZU;2-T
Abstract
We study Toeplitz operators on the harmonic Bergman space b(p)(B), whe re B is the open unit ball in R-n(n greater than or equal to 2), for 1 < p < infinity. We give characterizations for the Toeplitz operators with positive symbols to be bounded, compact, and in Schatten classes. We also obtain a compactness criteria for the Toeplitz operators with continuous symbols.