Multiple weighted estimates for commutators of multilinear fractional integral operators  

作　　者：CHEN SongQing WU HuoXiong 

机构地区：[1]School of Mathematical Sciences,Xiamen University [2]School of Economics,Shanghai University of Finance and Economics

出　　处：《Science China Mathematics》2013年第9期1879-1894,共16页中国科学：数学（英文版）

基　　金：National Natural Science Foundation of China (Grant No. 11071200);Natural Science Foundation of Fujian Province of China (Grant No. 2010J01013)

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.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.

关 键 词：multilinear fractional integrals COMMUTATORS maximal operators multiple weights A （ P q ） weighted norm inequalities 

分 类 号：O177.6[理学—数学]