A HILBERT-TYPE INTEGRAL INEQUALITY IN THE WHOLE PLANE WITH THE HOMOGENEOUS KERNEL

被引：0

作者：

Wang, Aizhen ^{[1
]}

Yang, Bicheng ^{[1
]}

机构：

[1] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2013年 / 7卷 / 02期

关键词：

Weight function; Hilbert-type integral inequality; homogeneous kernel; equivalent form; OPERATOR; NORM;

D O I：

10.7153/jmi-07-27

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the way of weight functions and the technique of real analysis, a new Hilbert-type integral inequality with the homogeneous kernel of degree 0 in the whole plane with the best constant factor is given. As applications, the equivalent inequalities with the best constant factors, the reverses and some particular cases are obtained.

引用

页码：289 / 298

页数：10

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