REPRODUCING KERNELS OF WEIGHTED POLY-BERGMAN SPACES ON THE UPPER HALF-PLANE

被引：0

作者：

Ortega, Josue Ramirez ^{[1
]}

机构：

[1] Univ Veracruzana, Fac Matemat, Xalapa 91000, Veracruz, Mexico

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2007年 / 13卷 / 02期

关键词：

poly-Bergman spaces; reproducing kernels;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Pi be the upper half-plane. The weighted poly-Bergman spaces on Pi consist of all functions on L-2(Pi, (lambda+ 1)(2y)(lambda)dx dy) satisfying the equation (partial derivative/partial derivative(z) over bar)(n)f = 0. Reproducing kernels of the weighted poly-Bergman spaces are obtained via the Fourier transform.

引用

页码：345 / 356

页数：12

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