SPARSE DOMINATION FOR THE LATTICE HARDY LITTLEWOOD MAXIMAL OPERATOR

被引：8
作者：
Hanninen, Timo S. [1 ]
Lorist, Emiel [2 ]
机构：
[1] Univ Helsinki, Dept Math & Stat, POB 68, FI-00014 Helsinki, Finland
[2] Delft Univ Technol, Delft Inst Appl Math, POB 5031, NL-2600 GA Delft, Netherlands
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 01期
基金：
芬兰科学院;
关键词：
Hardy-Littlewood maximal operator; sparse domination; Banach lattice; p-convexity; Muckenhoupt weights; OSCILLATION DECOMPOSITION; POINTWISE ESTIMATE; CALDERON; PROPERTY;
D O I：
10.1090/proc/14236
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the domination of the lattice Hardy-Littlewood maximal operator by sparse operators in the setting of general Banach lattices. We prove that the admissible exponents of the dominating sparse operator are determined by the q-convexity of the Banach lattice.
引用
收藏
页码：271 / 284
页数：14
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