BOUNDEDNESS OF MAXIMAL OPERATORS ON HERZ SPACES WITH RADIAL VARIABLE EXPONENT

被引：0
|
作者：
Mizuta, Yoshihiro [1 ]
Shimomura, Tetsu [2 ]
机构：
[1] Hiroshima Univ, Grad Sch Sci, Dept Math, Higashihiroshima 7398521, Japan
[2] Hiroshima Univ, Grad Sch Educ, Dept Math, Higashihiroshima 7398524, Japan
来源：
TOHOKU MATHEMATICAL JOURNAL | 2020年 / 72卷 / 03期
关键词：
Hardy-Littlewood maximal function; radial variable exponent; Herz space; GENERALIZED LEBESGUE SPACES; INEQUALITIES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Our aim in this paper is to deal with the boundedness of the central Hardy-Littlewood maximal operator on Herz spaces with radial variable exponent. As a special case, we show the boundedness of the maximal operator in weighted Lebesgue spaces with radial variable exponent. We also discuss the integrability of the maximal functions in such spaces.
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页码：335 / 348
页数：14
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