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
收藏
页码：119 / 133
页数：15
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