| 一类广义的Hilbert型奇异积分算子的范数 |
| |
| 引用本文： | 陈广生.一类广义的Hilbert型奇异积分算子的范数[J].洛阳师范学院学报,2013,32(5). |
| |
| 作者姓名： | 陈广生 |
| |
| 作者单位： | 广西现代职业技术学院计算机工程系,广西河池,547000 |
| |
| 摘 要： | 在区间(0,b)上,定义了一个广义的带参数的核为1max{xλ,yλ}的Hilbert型奇异积分算子T,研究了它的有界性问题并求出其范数.作为应用,还考虑其涉及内积的等价形式.
|
| 关 键 词： | Hilbert型奇异积分算子 Hilbert型不等式 算子范数 内积 Hǒlder不等式 |
On the Norm of a General Hilbert's Type Singular Integral Operator |
| |
| CHEN Guang-sheng.On the Norm of a General Hilbert's Type Singular Integral Operator[J].Journal of Luoyang Teachers College,2013,32(5). |
| |
| Authors: | CHEN Guang-sheng |
| |
| Abstract: | In this paper,a general Hilbert type singular multiple integral operator T with core 1 max{ x λ ,y λ } with parameters is defined on the interval ( 0,b) ,the boundedness and norm of T are studied. As their applications,the equivalent forms with inner product are considered. |
| |
| Keywords: | Hilbert type singular integral operator Hilbert type inequality norm of operator inner product Hlder inequality |
| 本文献已被 万方数据 等数据库收录！ |
|
