On the weak L (p) -Hodge decomposition and Beurling-Ahlfors transforms on complete Riemannian manifolds

doi:10.1007/s00440-010-0270-2

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	On the weak L (p) -Hodge decomposition and Beurling-Ahlfors transforms on complete Riemannian manifolds
	Li, Xiang-Dong1,2,3
刊名	PROBABILITY THEORY AND RELATED FIELDS
	2011-06-01
卷号	150 期号:1-2 页码:111-144
关键词	Beurling-Ahlfors transforms Hodge decomposition Martingale representation formula Weitzenbck curvature
ISSN号	0178-8051
DOI	10.1007/s00440-010-0270-2
英文摘要	Based on a new martingale representation formula, we prove some quantitative upper bound estimates of the L (p) -norm of some singular integral operators on complete Riemannian manifolds. This leads us to establish the Weak L (p) -Hodge decomposition theorem and to prove the L (p) -boundedness of the Beurling-Ahlfors transforms on complete non-compact Riemannian manifolds with non-negative Weitzenbock curvature operator.
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000290725200005
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/12142]
专题	应用数学研究所
通讯作者	Li, Xiang-Dong
作者单位	1.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 2.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China 3.Univ Toulouse 3, Inst Math, F-31062 Toulouse 9, France
推荐引用方式 GB/T 7714	Li, Xiang-Dong. On the weak L (p) -Hodge decomposition and Beurling-Ahlfors transforms on complete Riemannian manifolds[J]. PROBABILITY THEORY AND RELATED FIELDS,2011,150(1-2):111-144.
APA	Li, Xiang-Dong.(2011).On the weak L (p) -Hodge decomposition and Beurling-Ahlfors transforms on complete Riemannian manifolds.PROBABILITY THEORY AND RELATED FIELDS,150(1-2),111-144.
MLA	Li, Xiang-Dong."On the weak L (p) -Hodge decomposition and Beurling-Ahlfors transforms on complete Riemannian manifolds".PROBABILITY THEORY AND RELATED FIELDS 150.1-2(2011):111-144.