Sharp weighted inequalities for harmonic maximal operators

被引：0
|
作者：
Osekowski, Adam [1 ]
Rapicki, Mateusz [1 ]
机构：
[1] Univ Warsaw, Fac Math Informat & Mech, Banacha 2, PL-02097 Warsaw, Poland
来源：
NEW YORK JOURNAL OF MATHEMATICS | 2022年 / 28卷
关键词：
Maximal; dyadic; Bellman function; best constants; NORM INEQUALITIES; BELLMAN FUNCTIONS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper contains the proof of sharp weighted L-p inequalities for the harmonic maximal function in the dyadic context. The argumentation exploits the Bellman function technique: the estimates follow from the existence of certain special functions enjoying appropriate size conditions and concavity. The results hold true in the more general setting of probability spaces equipped with a tree-like structure.
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页码：140 / 153
页数：14
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