| 加权调和Bergman核及其诱导的度量矩阵 |
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| 引用本文： | 赵振刚.加权调和Bergman核及其诱导的度量矩阵[J].数学的实践与认识,2010,40(1). |
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| 作者姓名： | 赵振刚 |
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| 作者单位： | 首都师范大学数学科学院,北京,100037 |
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| 基金项目： | 国家自然科学院基金(10401024); 北京市组织部D类资助项目 |
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| 摘 要： | 在Rn中的有界域上建立加权调和Bergman核,并得出单位球的加权调和Bergman核的表达式;利用加权调和Bergman核在Rn的有界域上构造度量矩阵;得到关于调和映射的Jacobi矩阵与度量矩阵之间的一个不等式.
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| 关 键 词： | 加权调和Bergman空间 加权调和Bergman核 |
Weighted Harmonic Bergman Kernel on the Unit Ball |
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| ZHAO Zhen-gang.Weighted Harmonic Bergman Kernel on the Unit Ball[J].Mathematics in Practice and Theory,2010,40(1). |
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| Authors: | ZHAO Zhen-gang |
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| Institution: | ZHAO Zhen-gang(Department of Mathematics,Capital Normal University,Beijing 100037,China) |
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| Abstract: | We construct weighted harmonic Bergman kernel on the bounded domain of Rn,and obtain weighted harmonic Bergman kernel on the unit Ball.We have constructed the positive definite metric matrixes for the bounded domains of Rn and proved an inequality which is about the Jacobi matrix of a harmonic mapping on a bounded domain of Rn and the metric matrix of the same bounded domain. |
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| Keywords: | weighted harmonic Bergman kernel space weighted harmonic Bergman kernel |
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