| 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,2016,37(3):329~336 |
| 齐次核的Hilbert型级数不等式取最佳常数因子的充要条件 |
| A Necessary and Sufficient Condition of that Hilbert Type Series Inequality with Homogeneous Kernel Has the Best Constant Factor |
| Received:January 07, 2014 Revised:October 08, 2014 |
| DOI： |
| 中文关键词: Hilbert型级数不等式, 最佳常数因子, 充要条件, 有界算子 |
| 英文关键词:Hilbert type series inequality, Best constant factor, Necessary and sufficient condition,Bounded operator |
| 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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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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