Release Time:2022-06-30  Hits:

Date of Publication: 2006-01-01

Journal: 东北数学 英文版

Institution: 数学科学学院

Volume: 22

Issue: 2

Page Number: 127-130

ISSN: 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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