On some fractional order Hardy inequalities

被引：23

作者：

Heinig, HP

Kufner, A

Persson, LE

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

[2] Acad Sci Czech Republ, Inst Math, CR-11567 Praha 1, Czech Republic

[3] Univ Lulea, Dept Math, S-97187 Lulea, Sweden

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 1997年 / 1卷 / 01期

关键词：

Hardy inequality; weight function; fractional order derivative;

D O I：

10.1155/S1025583497000039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Weighted inequalities for fractional derivatives (= fractional order Hardy-type inequalities) have recently been proved in [4] and [1]. In this paper, new inequalities of this type are proved and applied. In particular, the general mixed norm case and a general twodimensional weight are considered. Moreover, an Orlicz norm version and a multidimensional fractional order Hardy inequality are proved. The connections to related results are pointed out.

引用

页码：25 / 46

页数：22