Citation
Gb. Ren et Jh. Shi, Forelli-Rudin type theorem in pluriharmonic Bergman spaces with small index, SCI CHINA A, 42(12), 1999, pp. 1286-1291
Citations number
15
Categorie Soggetti
Multidisciplinary
Journal title
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN journal
10016511
→ ACNP
Volume
42
Issue
12
Year of publication
1999
Pages
1286 - 1291
Database
ISI
SICI code
1001-6511(199912)42:12<1286:FTTIPB>2.0.ZU;2-P
Abstract
It is proved that the Bergman type operator T-s is a bounded projection fro
m the pluriharmonic Bergman space L-p(B) boolean AND h(B) onto Bergman spac
e L-p(B) boolean AND H(B) for 0 < p < 1 and s > (p(-1) - 1)(n + 1). As an a
pplication it is shown that the Gleason's problem can be solved in Bergman
space L-p(B) boolean AND H(B) for 0 < p < 1.