New Lorentz spaces for the restricted weak-type Hardy's inequalities

被引：3

作者：

Martín, J ^{[1
]}

Soria, J ^{[1
]}

机构：

[1] Autonomous Univ Barcelona, Dept Appl Math, E-08193 Barcelona, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 281卷 / 01期

关键词：

Hardy operator; Lorentz spaces; monotone functions; weighted inequalities;

D O I：

10.1016/S0022-247X(02)00584-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Associated to the class of restricted weak-type weights for the Hardy operator R-p, we find a new class of Lorentz spaces for which the normability property holds. This result is analogous to the characterization given by Sawyer for the classical Lorentz spaces. We also show that these new spaces are very natural to study the existence of equivalent norms described in terms of the maximal function. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：138 / 152

页数：15

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