Optimal domain for the Hardy operator

被引：41

作者：

Delgado, Olvido

Soria, Javier ^{[1
]}

机构：

[1] Univ Barcelona, Dept Appl Math & Anal, E-08007 Barcelona, Spain

[2] Univ Seville, Dept Math, E-41080 Seville, Spain

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2007年 / 244卷 / 01期

关键词：

Hardy operator; optimal domain; rearrangement invariant (r.i.) space; Lorentz space; vector measure;

D O I：

10.1016/j.jfa.2006.12.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the optimal domain for the Hardy operator considered with values in a rearrangement invariant space. In particular, this domain can be represented as the space of integrable functions with respect to a vector measure defined on a delta-ring. A precise description is given for the case of the minimal Lorentz spaces. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：119 / 133

页数：15

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