| 一类有界Reinhardt域上的函数论 |
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| 引用本文： | 李娴. 一类有界Reinhardt域上的函数论[J]. 数学季刊, 2006, 21(1): 115-123 |
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| 作者姓名： | 李娴 |
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| 作者单位： | College of Mathematics and Information Science，Henan University，Kaifeng 475001，China |
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| 基金项目： | Supported by the NSF of Henan University(04YBRW043) |
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| 摘 要： | In this paper, we consider a class of bounded Reinhardt domains Dα(m, n1,…,nm). The Bergman kernel function K(z,z), the Bergman metric matrix T(z,z), the Cauchy-Szego kernel function S(z,ζ) are obtained. Then we prove that the formal Poisson kernel function is not a Poisson kernel function. At last, we prove that Dαis a quasiconvex domain and Dαis a stronger quasiconvex domain if and only if Dαis a hypersphere.
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| 关 键 词： | 函数理论 有界Reinhardt域 Bergman内核函数 Bergman度量矩阵 |
Function Theory of a Class of Bounded Reinhardt Domains |
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| LI Xian. Function Theory of a Class of Bounded Reinhardt Domains[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(1): 115-123 |
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| Authors: | LI Xian |
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| Affiliation: | College of Mathematics and Information Science, Henan University, Kaifeng 475001, China |
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| Abstract: | |
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| Keywords: | bounded Reinhardt domain Cauchy-Szego kernel |
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