| 一类具有准齐次核的Hilbert型奇异重积分算子的范数及应用 |
| |
| 引用本文： | 洪勇.一类具有准齐次核的Hilbert型奇异重积分算子的范数及应用[J].数学年刊A辑(中文版),2014,35(1):21-30. |
| |
| 作者姓名： | 洪勇 |
| |
| 作者单位： | 广东财经大学数学与统计学院, 广州 510320. |
| |
| 基金项目： | 广东省自然科学基金(No.S2012010010376)和广州市科技计划项目(No.2010GN-C021) |
| |
| 摘 要： | 引入准齐次函数的概念,研究了具有准齐次核的一类Hilbert型奇异重积分算子的范数问题,并讨论其应用.
|
| 关 键 词： | 准齐次核 Hilbert型奇异重积分算子 范数 Hilbert型不等式 |
On the Norm of Hilbert-type Singular Multiple Integral Operator with Quasi-homogeneous
Kernel and Its Application |
| |
| HONG Yong.On the Norm of Hilbert-type Singular Multiple Integral Operator with Quasi-homogeneous
Kernel and Its Application[J].Chinese Annals of Mathematics,2014,35(1):21-30. |
| |
| Authors: | HONG Yong |
| |
| Institution: | College of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China. |
| |
| Abstract: | A concept of quasi-homogeneous function is defined, the norm of a Hilbert-type singular
mulitple integral operator with quasi-homogeneous kernel is studied, and its applications are discussed. |
| |
| Keywords: | Quasi-homogeneous kernel Hilbert-type singular multiple integral operator Norm Hilbert-type inequality |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学年刊A辑(中文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊A辑(中文版)》下载免费的PDF全文 |
