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Date of Publication:2006-01-01

Journal:东北数学 英文版

Affiliation of Author(s):数学科学学院

Volume:22

Issue:2

Page Number:127-130

ISSN No.:1000-1778

Abstract: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.

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