Reproducing Kernels of Some Weighted Bergman Spaces

被引：9

作者：

Deng, Guan-Tie ^{[1
]}

Huang, Yun ^{[2
]}

Qian, Tao ^{[3
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[2] Univ Macau, Fac Sci & Technol, Dept Math, Macau, Via Hong Kong, Peoples R China

[3] Macau Univ Sci & Technol, Inst Syst Engn, Ave Wai Long, Taipa, Macao, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2021年 / 31卷 / 10期

关键词：

Reproducing kernel; Reproducing kernel Hilbert space; Weighted Bergman spaces;

D O I：

10.1007/s12220-021-00616-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Herein, the theory of Bergman kernel is developed to the weighted case. A general form of weighted Bergman reproducing kernel is obtained, by which we can calculate concrete Bergman kernel functions for specific weights and domains.

引用

页码：9527 / 9550

页数：24

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