HILBERT-TYPE INEQUALITIES AND RELATED OPERATORS WITH HOMOGENEOUS KERNEL OF DEGREE 0

被引：0

作者：

Yang Bicheng ^{[1
]}

Krnic, Mario ^{[2
]}

机构：

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

[2] Fac Elect Engn & Comp, Zagreb 10000, Croatia

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2010年 / 13卷 / 04期

关键词：

Hilbert-type inequality; Hardy-Hilbert type inequality; Hilbert-type operator; homogeneous kernel; weight function; norm;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we provide an unified approach to the Hilbert-type inequalities with homogeneous kernel of degree 0 and certain weight functions. As an application, we define the related Hilbert-type operators and analyze their norms. In the case of conjugate exponents, we obtain the best possible constants involved in the right-hand sides of derived inequalities, and norms of the Hilbert-type operators as well. Finally, we consider some special choices of homogeneous kernels and parameters.

引用

页码：817 / 839

页数：23

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