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.
引用
收藏
页码：335 / 348
页数：14
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