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.
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页码：87 / 99
页数：13
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