| $D^2(\Omega,\rho)$的再生核与再生核诱导的度量 |
| |
| 引用本文： | 赵振刚.$D^2(\Omega,\rho)$的再生核与再生核诱导的度量[J].数学研究及应用,2009,29(4):587-598. |
| |
| 作者姓名： | 赵振刚 |
| |
| 作者单位： | 首都师范大学数学系, 北京 100037 |
| |
| 基金项目： | 国家自然科学基金(No.10401024). |
| |
| 摘 要： | An important property of the reproducing kernel of D^2（Ω, ρ） is obtained and the reproducing kernels for D^2（Ω, ρ） are calculated when Ω = Bn× Bn and ρ are some special functions. A reproducing kernel is used to construct a semi-positive definite matrix and a distance function defined on Ω×Ω. An inequality is obtained about the distance function and the pseudodistance induced by the matrix.
|
| 关 键 词： | 诱导矩阵 再生核 公制 距离函数 函数定义 氮化硼 矩阵和 半正定 |
| 收稿时间： | 9/3/2007 12:00:00 AM |
| 修稿时间： | 1/4/2008 12:00:00 AM |
Reproducing Kernel for $D^2(\Omega,\rho)$ and Metric Induced by Reproducing Kernel |
| |
| ZHAO Zhen Gang.Reproducing Kernel for $D^2(\Omega,\rho)$ and Metric Induced by Reproducing Kernel[J].Journal of Mathematical Research with Applications,2009,29(4):587-598. |
| |
| Authors: | ZHAO Zhen Gang |
| |
| Affiliation: | Department of Mathematics, Capital Normal University, Beijing 100037, China |
| |
| Abstract: | important property of the reproducing kernel of $D^2(\Omega,\rho)$ is obtained and the reproducing kernels for $D^2(\Omega,\rho)$ are calculated when $\Omega=B_n\times B_n$ and $\rho$ are some special functions. A reproducing kernel is used to construct a semi-positive definite matrix and a distance function defined on $\Omega \times\Omega$. An inequality is obtained about the distance function and the pseudo-distance induced by the matrix. |
| |
| Keywords: | harmonic Bergman spaces harmonic Bergman kernels |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
|
点击此处可从《数学研究及应用》下载全文 |
