Weighted endpoint estimates for commutators of multilinear fractional integral operators

被引：3
|
作者：
Yan, Xuefang [1 ,2 ]
Xue, Limei [1 ,2 ]
Li, Wenming [1 ,2 ]
机构：
[1] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Peoples R China
[2] Zhongshan Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2012年 / 62卷 / 02期
基金：
中国国家自然科学基金;
关键词：
multilinear fractional integral operators; commutator; BMO; weight; maximal operators; SINGULAR-INTEGRALS; NORM INEQUALITIES;
D O I：
10.1007/s10587-012-0034-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let m be a positive integer, 0 < alpha < mn, = (b (1), aEuro broken vertical bar, b (m) ) epsilon BMO (m) . We give sufficient conditions on weights for the commutators of multilinear fractional integral operators to satisfy a weighted endpoint inequality which extends the result in D. Cruz-Uribe, A. Fiorenza: Weighted endpoint estimates for commutators of fractional integrals, Czech. Math. J. 57 (2007), 153-160. We also give a weighted strong type inequality which improves the result in X. Chen, Q. Xue: Weighted estimates for a class of multilinear fractional type operators, J. Math. Anal. Appl., 362, (2010), 355-373.
引用
收藏
页码：347 / 359
页数：13
相关论文
共 50 条
12345