Rearrangement inequality for the Hardy-Littlewood maximal operator

被引：1

作者：

Nie, Xudong ^{[1
]}

Yan, Dunyan ^{[2
]}

Liu, Shao ^{[2
]}

Deng, Yangkendi ^{[2
]}

机构：

[1] Shijiazhuang Tiedao Univ, Dept Math & Phys, Shijiazhuang 050043, Hebei, Peoples R China

[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2022年 / 16卷 / 03期

关键词：

Rearrangement inequality; Maximal operator; Best constant; BOUNDS; CUBES;

D O I：

10.1007/s43037-022-00197-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A rearrangement inequality for the one-dimensional uncentered Hardy-Littlewood maximal function is obtained. That is, for each x is an element of R, the inequality (Mf)*(x) <= Mf*(x) holds, where f* is the symmetric decreasing rearrangement function of f. The analogical rearrangement inequalities for high-dimensional case is also studied.

引用

页数：30

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