WEIGHTED ORLICZ SPACE INTEGRAL-INEQUALITIES FOR THE HARDY-LITTLEWOOD MAXIMAL OPERATOR

被引：43

作者：

BLOOM, S ^{[1
]}

KERMAN, R ^{[1
]}

机构：

[1] BROCK UNIV,DEPT MATH,ST CATHARINES,ON LS2A1,CANADA

来源：

STUDIA MATHEMATICA | 1994年 / 110卷 / 02期

关键词：

D O I：

10.4064/sm-110-2-149-167

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Necessary and sufficient conditions are given for the Hardy-Littlewood maximal operator to be bounded on a weighted Orlicz space when the complementary Young function satisfies DELTA2. Such a growth condition is shown to be necessary for any weighted integral inequality to occur. Weak-type conditions are also investigated.

引用

页码：149 / 167

页数：19

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