A new approach to Hardy-type inequalities

被引：0

作者：

Adam Osȩkowski

机构：

[1] University of Warsaw,Faculty of Mathematics, Informatics and Mechanics

来源：

Archiv der Mathematik | 2015年 / 104卷

关键词：

58E35; 26A46; Hardy inequality; Best constants;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce a new method which can be used to establish sharp Hardy-type inequalities on the positive halfline. As an illustration, we present a new proof of a classical result due to Bliss.

引用

页码：165 / 176

页数：11

共 8 条

[1]

Bliss G.(1930)An integral inequality J. London. Math. Soc. 5 40-46

[2]

Hardy G. H.(1930)Notes on the theory of series (XII): On certain inequalities connected with calculus of variations J. London Math. Soc. 5 34-39

[3]

Littlewood J. E.(2006)The Prehistory of the Hardy Inequality Amer. Math. Monthly 113 715-732

[4]

Kufner A.(1997)The hunt for a Bellman function: applications to estimates for singular integral operators and to other classical problems of harmonic analysis St. Petersburg Math. J. 8 721-824

[5]

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