一类华罗庚域的Bergman核函数的显式表达

程晓亮; 付瑀

doi:10.6054/j.jscnun.2024028

一类华罗庚域的Bergman核函数的显式表达

程晓亮^,,
付瑀

吉林师范大学数学与计算机学院，四平 136000

基金项目:

国家自然科学基金项目 12026420

吉林省科技发展计划项目 YDZJ202201ZYTS627

吉林省教育厅“十三五”科学技术项目 JJKH20200405KJ

详细信息

通讯作者:
程晓亮，Email: chengxiaoliang92@163.com

中图分类号: O174.55
计量
- 文章访问数: 43
- HTML全文浏览量: 12
- PDF下载量: 23
出版历程
- 收稿日期: 2023-11-05
- 网络出版日期: 2024-06-21
- 刊出日期: 2024-04-24

Explicit Formulas of the Bergman Kernel Functions for A Class of Hua Domains

CHENG Xiaoliang^,,
FU Yu

College of Mathematics and Computer, Jilin Normal University, Siping 136000

摘要

摘要:
在任意不可约有界圆型齐性域上考虑一类华罗庚域E(q₁, …, q_m, Ω; p₁, …, p_m)，其中Ω是指任意不可约有界圆型齐性域，q₁, …, q_m都是自然数，m, p₁, …, p_m都是正整数，N(Z, Z)是Ω的一般范数。利用完备正交函数系和多元极坐标变换，给出了该域的Bergman核函数的显式表达。
- Bergman核函数 /
- semi-Reinhardt域 /
- 华罗庚域
Abstract:
Consider a class of Hua domains E(q₁, …, q_m, Ω; p₁, …, p_m) on any irreducible bounded circular homogeneity domain, and among them, Ω is any irreducible bounded circular homogeneity domain, q₁, …, q_m are all natural numbers, m, p₁, …, p_m are all positive integers, N(Z, Z) is the norm of Ω. The explicit formulas of the Bergman kernel functions for the domains are provided by using the complete orthogonal function system and multivariate polar coordinate transformation.
- Bergman kernel function /
- semi-Reinhardt domain /
- Hua domain

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参考文献(15)

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