Weighted endpoint estimates for commutators of fractional integrals

被引：16

作者：

Cruz-Uribe, D. ^{[1
]}

Fiorenza, Hartford A.

机构：

[1] Trinity Coll, Dept Math, Hartford, CT 06106 USA

[2] Univ Naples Federico 2, Dipartimento Costruzioni & Metodi Matemat Archite, I-80134 Naples, Italy

[3] CNR, Ist Applicazioni Calcolo Mauro Picone, I-80131 Naples, Italy

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2007年 / 57卷 / 01期

关键词：

fractional integrals; commutators; BMO; weights; Orlicz spaces; maximal functions;

D O I：

10.1007/s10587-007-0051-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given alpha, 0 < alpha < n, and b epsilon BMO, we give sufficient conditions on weights for the commutator of the fractional integral operator, [b, I alpha ], to satisfy weighted endpoint inequalities on R-n and on bounded domains. These results extend our earlier work [3], where we considered unweighted inequalities on R-n.

引用

页码：153 / 160

页数：8

共 10 条

[1] A NOTE ON COMMUTATORS [J].