海南师范大学学报（自然科学版）2025，Vol.38Issue(4)：377-382,6.DOI:10.12051/j.issn.1674-4942.2025.04.001
一类四维Hartogs三角域的Bergman核函数零点
Zeroes of the Bergman Kernels on a Class of Four-dimensional Hartogs Triangle Domains
摘要
Abstract
In the theory of several complex variables,the existence of zeros of the Bergman kernel function has always been a topic of significant interest.This paper employs the formula for the Bergman kernel function of the n-dimensional Hartogs triangle domain to compute the explicit form of the Bergman kernel function for a class of four-dimensional Hartogs triangle domains.Furthermore,we demonstrate that its Bergman kernel function possesses zeros,thereby proving that this four-dimensional Hartogs triangle domain is a non-Lu Qi-Keng domain.关键词
Bergman核函数/Hartogs三角域/陆启铿域/零点问题Key words
Bergman kernel function/Hartogs triangle domain/Lu Qi-Keng domain/zero problem分类
数理科学引用本文复制引用
CHENG Xiaoliang,SONG Hongbo..一类四维Hartogs三角域的Bergman核函数零点[J].海南师范大学学报（自然科学版）,2025,38(4):377-382,6.基金项目
国家自然科学基金项目(12026420) （12026420）
吉林省科技发展计划项目(YDZJ202201ZYTS627) （YDZJ202201ZYTS627）
吉林省教育厅"十三五"科学技术项目(JJKH20200405KJ) （JJKH20200405KJ）
