On the Bergman kernel in weighted monogenic Bargmann-Fock spaces

被引：3
|
作者：
Mai, Weixiong [1 ]
Shao, Guokuan [2 ]
机构：
[1] Macau Univ Sci & Technol, Macao Ctr Math Sci, Macau, Peoples R China
[2] Sun Yat Sen Univ, Sch Math Zhuhai, Guangzhou, Guangdong, Peoples R China
来源：
ADVANCES IN MATHEMATICS | 2023年 / 415卷
关键词：
Bergman kernel; Clifford algebra; Monogenic function; Bargmann-Fock space; L2-estimate; Moser?s iteration; L-P SPACES; METRICS;
D O I：
10.1016/j.aim.2023.108891
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the Bergman kernel B phi(x, y) of generalized Bargmann-Fock spaces in the setting of Clifford algebra. The versions of L2-estimate method and weighted subharmonic inequality for Clifford algebra are established. Consequently we show the existence of B phi(x, y) and then give some estimates on-and off-the diagonal. As a by-product, we also obtain an upper estimate of the weighted harmonic Bergman kernel. (c) 2023 Elsevier Inc. All rights reserved.
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页数：27
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