一些hartogs域的bergman核

IF 0.5 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI:10.4134/BKMS.B190382

Jong-Do Park

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引用次数: 0

摘要

本文计算了Ωp,q,r = {(z, z '， w)∈C ×∆:|z| < (1 - |z ' |2q)(1 - |w|)}的Bergman核，其中p,q,r >是多变量超几何级数形式。因此，我们得到KΩp,q,r (z, 0,0;(Z, 0, 0)逼近Ωp,q,r的边界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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ON THE BERGMAN KERNEL FOR SOME HARTOGS DOMAINS

In this paper, we compute the Bergman kernel for Ωp,q,r = {(z, z′, w) ∈ C ×∆ : |z| < (1− |z′|2q)(1− |w|)}, where p, q, r > 0 in terms of multivariable hypergeometric series. As a consequence, we obtain the behavior of KΩp,q,r (z, 0, 0; z, 0, 0) when (z, 0, 0) approaches to the boundary of Ωp,q,r.

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).