| Zero Problems of the Bergman Kernel Function on the First Type of Cartan-Hartogs Domain |
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| 作者姓名： | Xin ZHAO |
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| 作者单位： | 1. Information Institute, Canvard College, Beijing Technology and Business University;2. School of Mathematical Sciences, Capital Normal University |
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| 基金项目： | supported by the National Natural Science Foundation of China (No. 11871044)；;the Natural Science Foundation of Hebei Province (No. A2019106037)； |
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| 摘 要： | The authors give the condition that the Bergman kernel function on the first type of Cartan-Hartogs domain exists zeros. If the Bergman kernel function of this type of domain has zeros, the zero set is composed of several path-connected branches, and there exists a continuous curve to connect any two points in the non-zero set.
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| 收稿时间： | 2020/9/2 0:00:00 |
| 修稿时间： | 2021/7/9 0:00:00 |
Zero Problems of the Bergman Kernel Function on the First Type of Cartan-Hartogs Domain* |
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| Xin ZHAO.Zero Problems of the Bergman Kernel Function on the First Type of Cartan-Hartogs Domain[J].Chinese Annals of Mathematics,Series B,2022,43(2):265-280. |
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| Authors: | Xin ZHAO |
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| Institution: | Information Institute, Canvard College, Beijing Technology and Business University, Beijing, 100018,China. |
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| Abstract: | The authors give the condition that the Bergman kernel function on the first type of Cartan-Hartogs domain exists zeros. If the Bergman kernel function of this type of domain has zeros, the zero set is composed of several path-connected branches, and there exists a continuous curve to connect any two points in the non-zero set. |
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| Keywords: | Cartan-Hartogs domain Zeros of Bergman kernel function Path connectivity |
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