| 有界对称域上的加权Bergman空间 |
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| 引用本文： | 王雄亮,刘太顺.有界对称域上的加权Bergman空间[J].数学季刊,2008,23(1):36-44. |
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| 作者姓名： | 王雄亮 刘太顺 |
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| 作者单位： | WANG Xiong-liang（Department of Mathematics,University of Science and Technology ot China,Hefei 230026,China）
LIU Tai-shun（Department of Mathematics,Huzhou Teacher's College,Huzhou 313000,China） |
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| 摘 要： | 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.
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| 关 键 词： | bounded symmetric domains linear operator Dα β weighted Bergman spaceAp(Ω dvs) weighted Bergman space Apα β(Ω dvs) duality 有界对称域 加权 Bergman Spaces 空间 Bounded Symmetric Domains dual boundedness Bergman projection linear operators Besov Bloch unified treatment real number natural spaces extend Making class |
| 文章编号： | 1002-0462(2008)01-0036-09 |
| 修稿时间： | 2007年6月10日 |
Weighted Bergman Spaces on Bounded Symmetric Domains |
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| WANG Xiong-liang LIU Tai-shun.Weighted Bergman Spaces on Bounded Symmetric Domains[J].Chinese Quarterly Journal of Mathematics,2008,23(1):36-44. |
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| Authors: | WANG Xiong-liang LIU Tai-shun |
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