Citation
Gb. Ren et Jh. Shi, GLEASONS PROBLEM IN WEIGHTED BERGMAN SPACE AN EGG DOMAINS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 41(3), 1998, pp. 225-231
Citations number
7
Categorie Soggetti
Multidisciplinary Sciences
Journal title
ISSN journal
10016511
Volume
41
Issue
3
Year of publication
1998
Pages
225 - 231
Database
ISI
SICI code
1001-6511(1998)41:3<225:GPIWBS>2.0.ZU;2-E
Abstract
It is shown that on the egg domains: Omega(a) = {xi = (z, w) is an ele
ment of Cn+m: z is an element of C-m, w is an element of C-m, \z\(2)+\
w\(2/a)<1}, 0 < a less than or equal to 2 Gleason's problem can be sol
ved in the weight Bergman space. As an application, multiplier theorem
on the egg domains is obtained.