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论文类型：期刊论文

发表时间：2006-01-01

发表刊物：东北数学（英文版）

收录刊物：ISTIC

卷号：22

期号：2

页面范围：127-130

ISSN号：1000-1778

关键字：Hankel product Haplitz product weighted Bergman space

摘要：1 Introduction
The Bergman space A2α is the space of analytic functions on a plane domain D which are square integrable with respect to the measure dAα(z) = (α + 1)(1 - |z|2)αdA(z),where dA denotes the normalized Lebesgue area measure on D. The reproducing kernel in A2α is given by K(α)w(z) = 1/(1 - (-w)z)2+α, z,w ∈ D.