Paraproducts, Bloom BMO and sparse BMO functions

被引：0
|
作者：
Fay, Irina Holmes [1 ]
Fragkiadaki, Valentia [1 ]
机构：
[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
来源：
REVISTA MATEMATICA IBEROAMERICANA | 2023年 / 39卷 / 06期
关键词：
BMO; weighted inequalities; paraproducts; sparse operators; COMMUTATORS;
D O I：
10.4171/RMI/1400
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We address Lp(mu)-* Lp(A) bounds for paraproducts in the Bloom set-ting. We introduce certain "sparse BMO" functions associated with sparse collections with no infinitely increasing chains, and use these to express sparse operators as sums of paraproducts and martingale transforms - essentially, as Haar multipliers - as well as to obtain an equivalence of norms between sparse operators As and compositions of paraproducts na*nb.
引用
收藏
页码：2079 / 2118
页数：40
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