Reproducing Kernels of Some Weighted Bergman Spaces

被引：8
|
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.
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页码：9527 / 9550
页数：24
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