A multilinear reverse Holder inequality with applications to multilinear weighted norm inequalities

被引：3
|
作者：
Cruz-Uribe, David [1 ]
Moen, Kabe [1 ]
机构：
[1] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2020年 / 27卷 / 01期
基金：
美国国家科学基金会;
关键词：
Muckenhoupt A(p) weights; reverse Holder inequality; multilinear operators; weighted norm inequalities;
D O I：
10.1515/gmj-2018-0071
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a multilinear version of the reverse Holder inequality in the theory of Muckenhoupt A(p) weights. We give two applications of this inequality to the study of multilinear weighted norm inequalities. First, we prove a structure theoremformultilinear A((p) over right arrow) weights; second, we give a new sufficient condition for multilinear, two-weighted norm inequalities for a maximal operator.
引用
收藏
页码：37 / 42
页数：6
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