一类无界域的陆启铿问题
Lu Qi-Keng’s Problem on Some Unbounded Domains
DOI: 10.12677/PM.2023.138234, PDF,    科研立项经费支持
作者: 刘 健, 钟雨玲, 胡琼方, 杨 尧, 谢 兵, 冯志明*：乐山师范学院数理学院，四川 乐山
关键词: Bergman核；陆启铿问题；Bergman Kernels； Lu Qi-Keng Problem
摘要: 陆启铿问题指的是一个域D是否是陆启铿域，陆启铿域是对所有的z,w∈D，Bergman核K(z,w)都不等于零的域。本文讨论了一类无界域D={(z,u1,u2)∈ℂ×B×B:eλ1|z|2|u1|2+eλ2|z|2|u2|2 < 1}的陆启铿问题。
Abstract: The Lu Qi-keng problem refers to whether a domain D is a Lu Qi-keng domain. The Lu Qi-keng do-main is a domain where all z,w∈D, and its Bergman kernel K(z,w) are not equal to zero. In this paper, we investigate the Lu Qi-Keng problem for unbounded domains D={(z,u1,u2)∈ℂ×B×B:eλ1|z|2|u1|2+eλ2|z|2|u2|2 < 1}.
文章引用：刘健, 钟雨玲, 胡琼方, 杨尧, 谢兵, 冯志明. 一类无界域的陆启铿问题[J]. 理论数学, 2023, 13(8): 2275-2283. https://doi.org/10.12677/PM.2023.138234

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