Multiple weighted estimates for commutators of multilinear fractional integral operators

doi:10.1007/s11425-013-4607-z

CORC > 上海财经大学 > 上海财经大学

	Multiple weighted estimates for commutators of multilinear fractional integral operators
	Chen SongQing 1,2; Wu HuoXiong 1
刊名	SCIENCE CHINA-MATHEMATICS
	2013-09
卷号	56 期号:9 页码:1879-1894
关键词	multilinear fractional integrals commutators maximal operators multiple weights A(((P)over-right-arrow,q)) weighted norm inequalities
ISSN号	1674-7283
DOI	10.1007/s11425-013-4607-z
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000323437100011
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/1941]
专题	上海财经大学
通讯作者	Wu HuoXiong
作者单位	1.Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China; 2.Shanghai Univ Finance & Econ, Sch Econ, Shanghai 240033, Peoples R China
推荐引用方式 GB/T 7714	Chen SongQing,Wu HuoXiong. Multiple weighted estimates for commutators of multilinear fractional integral operators[J]. SCIENCE CHINA-MATHEMATICS,2013,56(9):1879-1894.
APA	Chen SongQing,&Wu HuoXiong.(2013).Multiple weighted estimates for commutators of multilinear fractional integral operators.SCIENCE CHINA-MATHEMATICS,56(9),1879-1894.
MLA	Chen SongQing,et al."Multiple weighted estimates for commutators of multilinear fractional integral operators".SCIENCE CHINA-MATHEMATICS 56.9(2013):1879-1894.