从Apα到A∞(ψ)的加权复合算子
Suppose u ∈ H(D) and φ is an analytic map of the unit disk D into itself. Definethe weighted composition operator uCφ : uCφ(f) = uf o φ, for all f ∈ H(D). In this paper,we get necessary and sufficient conditions for the bounded and compact weighted compositionoperators from the weighted Bergman spaces Apα to A∞(ψ) (A∞0(ψ)) spaces.
作 者： 刘永民 张芳 LIU Yong Min ZHANG Fang 作者单位： 刘永民,LIU Yong Min(Department of Mathematics, Xuzhou Normal University, Jiangsu 221116, China)张芳,ZHANG Fang(Department of Information Science, Jiangsu Polytechnic University, Jiangsu 213164, China)
刊 名： 数学研究与评论 ISTIC PKU 英文刊名： JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION 年，卷(期)： 2008 28(3) 分类号： O177.2 O174.5 关键词： Apα space A∞(ψ) space composition operator