EIGENFUNCTIONS OF THE HARDY-LITTLEWOOD MAXIMAL OPERATOR

被引：3

作者：

Colzani, Leonardo ^{[1
]}

Perez Lazaro, Javier ^{[2
]}

机构：

[1] Univ Milano Bicocca, Dipartimento Matemat, I-20125 Milan, Italy

[2] Univ La Rioja, Dept Matemat & Comp, Logrono 26004, La Rioja, Spain

来源：

COLLOQUIUM MATHEMATICUM | 2010年 / 118卷 / 02期

关键词：

maximal operator; eigenfunctions; SPACES;

D O I：

10.4064/cm118-2-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that peak shaped eigenfunctions of the one-dimensional uncentered Hardy-Littlewood maximal operator are symmetric and homogeneous. This implies that the norms of the maximal operator on L (p) spaces are not attained.

引用

页码：379 / 389

页数：11

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