数学季刊（英文版）
數學季刊（英文版）
수학계간（영문판）
CHINESE QUARTERLY JOURNAL OF MATHEMATICS
2008年
1期
36-44
,共9页
bounded symmetric domains%linear operator Dα,β%weighted Bergman spaceAp(Ω,dvs)%weighted Bergman space Apα,β(Ω,dvs)%duality
On bounded symmetric domain Ω of Cn.we investigate the properties of functions in weighted Bergman spaces Ap(Ω,dvs)for 0＜P≤ +∞and-1＜s＜+∞.Based on the estimate of Bergman kernel,we obtain some characterizations of functions in Ap(Ω,dvs)in terms of a class of linear operators Dα,β.Making use of these characterizations,we extend Ap(Ω,dvs)to the weighted Bexgman spaces APα,β(Ω,dvs)in a very natural way for 1≤p≤+∞ and any real number s,that is,-∞＜s＜+∞.This unified treatment covers some classical Bergman spaces,Besov spaces and Bloch spaces.Meanwhile,the boundedness of Bergman projection operators on Apα,β(Ω,dvs)and the dual of Apα,β,(Ω,dvs)are given.
