A UNIFIED TREATMENT OF HILBERT-TYPE INEQUALITIES INVOLVING THE HARDY OPERATOR

被引：0

作者：

Batbold, Tserendorj ^{[1
]}

Sawano, Yoshihiro ^{[2
]}

机构：

[1] Natl Univ Mongolia, Inst Math, Ulaanbaatar 14201, Mongolia

[2] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Hachioji, Tokyo 1920397, Japan

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2015年 / 18卷 / 03期

关键词：

Hilbert's inequality; Hardy's inequality; the best possible constant; homogeneous function; INTEGRAL INEQUALITY;

D O I：

10.7153/mia-18-60

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we shall provide a unified treatment of Hilbert-type inequalities involving the Hardy operator with a general homogeneous kernel. Furthermore, we establish some new Hilbert-type inequalities involving the integral operator. We shall show that the constants in our results are best possible.

引用

页码：827 / 843

页数：17

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