COMPACT TOEPLITZ-OPERATORS ON WEIGHTED HARMONIC BERGMAN SPACES

Authors
Citation
K. Stroethoff, COMPACT TOEPLITZ-OPERATORS ON WEIGHTED HARMONIC BERGMAN SPACES, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 64, 1998, pp. 136-148
Citations number
6
Categorie Soggetti
Mathematics,"Statistic & Probability",Mathematics,"Statistic & Probability
ISSN journal
02636115
Volume
64
Year of publication
1998
Part
1
Pages
136 - 148
Database
ISI
SICI code
0263-6115(1998)64:<136:CTOWHB>2.0.ZU;2-0
Abstract
We consider the Bergman spaces consisting of harmonic functions on the unit ball in R-n that are square-integrable with respect to radial we ights. We will describe compactness for certain classes of Toeplitz op erators on these harmonic Bergman spaces.