| 齐次核的Hilbert型级数不等式取最佳常数因子的充要条件 |
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| 引用本文： | 洪 勇,温雅敏.齐次核的Hilbert型级数不等式取最佳常数因子的充要条件[J].数学年刊A辑(中文版),2016,37(3):329-336. |
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| 作者姓名： | 洪 勇 温雅敏 |
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| 作者单位： | 广东财经大学数学与统计学院, 广州 510320.,广东财经大学数学与统计学院, 广州 510320. |
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| 基金项目： | 本文受到国家自然科学基金(No.61300204), 广东省自然科学基金(No.S2012010010376)和广州市科技计划项目(No.2010GN-C021)的资助. |
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| 摘 要： | 利用实分析技巧及权函数方法,解决了具有齐次核的Hilbert型级数不等式取最佳常数因子的充要条件,并讨论其在算子理论中的应用.
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| 关 键 词： | Hilbert型级数不等式 最佳常数因子 充要条件 有界算子 |
| 收稿时间： | 1/7/2014 12:00:00 AM |
| 修稿时间： | 2014/10/8 0:00:00 |
A Necessary and Sufficient Condition of that Hilbert
Type Series Inequality with
Homogeneous Kernel Has the Best Constant Factor |
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| College of Mathematics and Statistics,Guangdong University of Finance and Economics,Guangzhou,China. and College of Mathematics and Statistics,Guangdong University of Finance and Economics,Guangzhou,China..A Necessary and Sufficient Condition of that Hilbert
Type Series Inequality with
Homogeneous Kernel Has the Best Constant Factor[J].Chinese Annals of Mathematics,2016,37(3):329-336. |
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| Authors: | College of Mathematics and Statistics Guangdong University of Finance and Economics Guangzhou China and College of Mathematics and Statistics Guangdong University of Finance and Economics Guangzhou China |
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| Abstract: | By using the technic of real analysis and the way of weight functions, a necessary
and sufficient condition of that Hilbert type series inequality with homogeneous kernel has
the best constant is obtained. Its applications in operator theory are considered. |
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| Keywords: | Hilbert type series inequality Best constant factor Necessary and sufficient condition Bounded operator |
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