| 一类具有非齐次核的Hilbert型积分不等式成立的充要条件及其应用 |
| |
| 引用本文： | 洪勇,温雅敏.一类具有非齐次核的Hilbert型积分不等式成立的充要条件及其应用[J].吉林大学学报(理学版),2018,56(2):227-232. |
| |
| 作者姓名： | 洪勇 温雅敏 |
| |
| 作者单位： | 广东财经大学 统计与数学学院, 广州 510320 |
| |
| 摘 要： | 利用实分析方法和技巧,讨论一类具有非齐次核K(x,y)=G(x~(λ1) y~(λ2))的Hilbert型积分不等式成立的充要条件及最佳常数因子,并研究其在算子理论中的应用.
|
| 关 键 词： | 算子范数 最佳常数因子 非齐次核 充要条件 有界线性算子 Hilbert型积分不等式 |
| 收稿时间： | 2017-08-09 |
Necessary and Sufficient Condition for a Class of Hilbert Type IntegralInequality with a Non homogeneous Kernel and Its Application |
| |
| HONG Yong,WEN Yamin.Necessary and Sufficient Condition for a Class of Hilbert Type IntegralInequality with a Non homogeneous Kernel and Its Application[J].Journal of Jilin University: Sci Ed,2018,56(2):227-232. |
| |
| Authors: | HONG Yong WEN Yamin |
| |
| Institution: | College of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, China |
| |
| Abstract: | By means of methods and techniques of real analysis, wediscussed the necessary and sufficient condition and the best constant factorfor a class of Hilberttype integral inequality with a non homoeneous kernel K(x,y)=G(xλ1yλ2), and studied its application in the operator theory. |
| |
| Keywords: | non homoeneous kernel the best constant factor norm of operator bounded linear operator Hilbert type integral inequality necessary and sufficient condition |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
