Boundedness of a class of super singular integral operators and the associated commutators

doi:10.1360/03ys0099

CSpace

	Boundedness of a class of super singular integral operators and the associated commutators
	Chen, QL ; Zhang, ZF
	2004-12-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	47 期号:6 页码:842-853
摘要	In this paper we give the (-Lp,, LP) boundedness of the maximal operator of a class of super singular integrals defined by [GRAPHICS] which improves and extends the known result. Moreover, by applying an off-Diagonal T1 Theorem, we also obtain the (LP, L q) bouncledness of the commutator defined by COmega,alphaf(x)=p.v.integral(R)(n)(A(x)-A(y))Omega(x-y)\x-y\(-n-alphaf)(y)dy.
关键词	singular integral operator maximal operator commutator T1 Theorem
DOI	10.1360/03ys0099
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000227041700005
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19233
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, QL
作者单位	1.Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, QL,Zhang, ZF. Boundedness of a class of super singular integral operators and the associated commutators[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2004,47(6):842-853.
APA	Chen, QL,&Zhang, ZF.(2004).Boundedness of a class of super singular integral operators and the associated commutators.SCIENCE IN CHINA SERIES A-MATHEMATICS,47(6),842-853.
MLA	Chen, QL,et al."Boundedness of a class of super singular integral operators and the associated commutators".SCIENCE IN CHINA SERIES A-MATHEMATICS 47.6(2004):842-853.