TWO-WEIGHT INEQUALITIES FOR GEOMETRIC MAXIMAL OPERATORS

被引：0
|
作者：
Osekowski, Adam [1 ]
机构：
[1] Univ Warsaw, Dept Math Informat & Mech, Banacha 2, PL-02097 Warsaw, Poland
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2017年 / 20卷 / 04期
关键词：
Maximal; dyadic; Bellman function; best constants; BELLMAN FUNCTIONS; WEIGHTED INEQUALITIES;
D O I：
10.7153/mia-2017-20-72
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study one- and two-weight inequalities for the geometric maximal operator on probability spaces equipped with a tree-like structure. We provide a characterization of weights, in terms of Muckenhoupt and Sawyer-type conditions, for which the appropriate strong-type estimates hold. Our approach rests on Bellman function method, which allows us to identify sharp constants involved in the estimates.
引用
收藏
页码：1121 / 1138
页数：18
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