中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
On the weak L (p) -Hodge decomposition and Beurling-Ahlfors transforms on complete Riemannian manifolds

文献类型:期刊论文

作者Li, Xiang-Dong1,2,3
刊名PROBABILITY THEORY AND RELATED FIELDS
出版日期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
DOI10.1007/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
WOS记录号WOS:000290725200005
出版者SPRINGER
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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