ROUGH MULTIPLE SINGULAR INTEGRALS ALONG HYPERSURFACES

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	ROUGH MULTIPLE SINGULAR INTEGRALS ALONG HYPERSURFACES
	Deng LR(邓浏睿) ; Li ZK(李中凯) ; Ma BL(马柏林) ; Wu HX(伍火熊)
刊名	http://epub.cnki.net/grid2008/brief/detailj.aspx?filename=SXWY201105033&dbname=CJFQ2011
	2011-09-15
关键词	multiple singular integral Marcinkiewicz integral maximal function hypersurface rough kernelε
英文摘要	In this paper, the authors study the mapping properties of singular integrals on product domains with kernels in L(log+L)ε(Sm-1 × Sn-1) (ε = 1 or 2) supported by hyper-surfaces. The Lp bounds for such singular integral operators as well as the related Marcinkiewicz integral operators are established, provided that the lower dimensional maximal function is bounded on Lq(R3) for all q > 1. The condition on the integral kernels is known to be optimal.
语种	中文
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/18975]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Deng LR,Li ZK,Ma BL,et al. ROUGH MULTIPLE SINGULAR INTEGRALS ALONG HYPERSURFACES[J]. http://epub.cnki.net/grid2008/brief/detailj.aspx?filename=SXWY201105033&dbname=CJFQ2011,2011.
APA	邓浏睿,李中凯,马柏林,&伍火熊.(2011).ROUGH MULTIPLE SINGULAR INTEGRALS ALONG HYPERSURFACES.http://epub.cnki.net/grid2008/brief/detailj.aspx?filename=SXWY201105033&dbname=CJFQ2011.
MLA	邓浏睿,et al."ROUGH MULTIPLE SINGULAR INTEGRALS ALONG HYPERSURFACES".http://epub.cnki.net/grid2008/brief/detailj.aspx?filename=SXWY201105033&dbname=CJFQ2011 (2011).