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

页码：1121 / 1138

页数：18

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