Multiple weighted estimates for commutators of multilinear fractional integral operators

被引：0
作者：
SongQing Chen
HuoXiong Wu
机构：
[1] Xiamen University,School of Mathematical Sciences
[2] Shanghai University of Finance and Economics,School of Economics
来源：
Science China Mathematics | 2013年 / 56卷
关键词：
multilinear fractional integrals; commutators; maximal operators; multiple weights ; weighted norm inequalities; 42B20; 42B25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Multilinear commutators and iterated commutators of multilinear fractional integral operators with BMO functions are studied. Both strong type and weak type endpoint weighted estimates involving the multiple weights for such operators are established and the weak type endpoint results are sharp in some senses. In particular, we extend the results given by Cruz-Uribe and Fiorenza in 2003 and 2007 to the multilinear setting. Moreover, we modify the weak type of endpoint weighted estimates and improve the strong type of weighted norm inequalities on the multilinear commutators given by Chen and Xue in 2010 and 2011.
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页码：1879 / 1894
页数：15
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