Multiple weighted estimates for commutators of multilinear fractional integral operators

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	Multiple weighted estimates for commutators of multilinear fractional integral operators
	Chen SongQing ; Wu HuoXiong ; Wu HX(伍火熊)
刊名	http://dx.doi.org/10.1007/s11425-013-4607-z
	2013
关键词	SINGULAR-INTEGRALS NORM INEQUALITIES NONSMOOTH KERNELS HARDY-SPACES VARIABLES
英文摘要	National Natural Science Foundation of China [11071200]; Natural Science Foundation of Fujian Province of China [2010J01013]; 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.
语种	英语
出版者	SCIENCE PRESS
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91249]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Chen SongQing,Wu HuoXiong,Wu HX. Multiple weighted estimates for commutators of multilinear fractional integral operators[J]. http://dx.doi.org/10.1007/s11425-013-4607-z,2013.
APA	Chen SongQing,Wu HuoXiong,&伍火熊.(2013).Multiple weighted estimates for commutators of multilinear fractional integral operators.http://dx.doi.org/10.1007/s11425-013-4607-z.
MLA	Chen SongQing,et al."Multiple weighted estimates for commutators of multilinear fractional integral operators".http://dx.doi.org/10.1007/s11425-013-4607-z (2013).