| 一个零齐次核的Hilbert型积分不等式及其逆 |
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| 引用本文： | 钟建华. 一个零齐次核的Hilbert型积分不等式及其逆[J]. 数学理论与应用, 2010, 0(2): 61-64 |
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| 作者姓名： | 钟建华 |
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| 作者单位： | 广东教育学院数学系,广州510303 |
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| 基金项目： | 广东高校自然科学基金重点项目（052026） |
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| 摘 要： | 通过引入参数和应用权函数的方法,建立了一个核为零齐次的Hilbert型积分不等式及其等价形式和它们的逆向形式,并证明其常数因子为最佳值.最后,本文给出了一个评注。
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| 关 键 词： | Hilbert型积分不等式 权函数 核 等价式 |
A Hilbert -type Integral Inequality and Reverse Forms with the Homogeneous Kernel of Zero Degree |
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| Zhong Jianhua. A Hilbert -type Integral Inequality and Reverse Forms with the Homogeneous Kernel of Zero Degree[J]. Mathematical Theory and Applications, 2010, 0(2): 61-64 |
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| Authors: | Zhong Jianhua |
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| Affiliation: | Zhong Jianhua ( Dept. of Math. , Guangdong Education Institute, Guangzhou, 510303) |
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| Abstract: | By introducing some parameters and using the way of weight function, a new Hilbert - type integral inequality is given with the homogeneous kernel of zero degree, the equivalent form and the reverse forms are also considered. It is proved that the constant factor is the best possible. Finally, the commentary is given in this paper. |
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| Keywords: | Hilbert-type integral inequality Weight function Kernel Equivalent form |
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