On approximation of maximal operators

被引：0

作者：

Aimar, Hugo ^{[1
]}

Carena, Marilina ^{[1
]}

Iaffei, Bibiana ^{[2
]}

机构：

[1] Inst Matemat Aplicada Litoral Conicet UNL, Dept Matemat FIQ UNL, Santa Fe, Argentina

[2] Inst Matemat Aplicada Litoral Conicet UNL, Dept Matemat FHUC UNL, Santa Fe, Argentina

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2010年 / 77卷 / 1-2期

关键词：

doubling measure; maximal operator; weak type (1,1); WEAK TYPE 1,1;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the weak type (1, 1) boundedness of the maximal of a sequence of integral operators on a metric measure space X follows from the uniform weak type on Dirac deltas of the restriction of the operators to a sequence of approximations of X.

引用

页码：87 / 99

页数：13

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