Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Chinese Annals of Mathematics,series A》 2005-02
Add to Favorite Get Latest Update

GEOMETRIC ANALYSIS OF TANGENT MEASURES

ZHAO Peibiao VANG Xiaoping Department of Applied Mathematics. School of Science. Nanjing University of Science and Technology, Nanjing 210094. China. Depart merit of Applied Mathematics, School of Science. Nanjing University of Science and Technology, Nanjing 210094, China.  
The authors study the tangent measures of a Radon measure μ and obtain the rectifia-bility of tangent measures and the existence of the micro tangent set of a continuous function by using the duality and the blow-up technique. The authors also give out the properties of flatness of tangent measures. As an application of tangent measures, the authors, with the help of Energy of μ, prove further the Marstrand's theorem.
【Key Words】: Tangent measure. Micro tangent set. Flat Monotone measure Marstrand theorem
【Fund】: 国家自然科学基金(No.19771048) 教育部博士点基金(No.2003028802) 南京理工大学科研发展基金(No.AB040419)资助的项目.
【CateGory Index】: O174.12
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 1 Hits
1 Zhao Peibiao Yang Xiaoping (Department of Applied Mathematics,Nanjing University of Science and Technology,Nanjing 210094);Existence Theorem of Micro-Tangent Sets of Continuous Functions[J];Acta Mathematica Scientia;2008-05
【Co-citations】
Chinese Journal Full-text Database 5 Hits
1 YAN Kun(Xi'an Modern Nonlinear Science Applying Institute,Xi'an 710061,China);Introduction on background medium theory about celestial body motion orbit and foundation of fractional-dimension calculus about self-fractal measure calculation[J];Progress in Geophysics;2007-02
2 HONG Guang-hao,WANG Li-he(Department of Applied Mathematics,College of Science,Xi’an Jiaotong University,Xi’an 710049);A Smoothing Method for Reifenberg Domains[J];Chinese Journal of Engineering Mathematics;2011-01
3 DAI Mei-feng,LU Rong-rong,SHI Yun(Nonlinear Scientific Research Center,Faculty of Science,Jiangsu University,Zhenjiang,Jiangsu 212013,Cnina);Mixed Divergence Points of Self-similar Measures and Packing Dimension[J];College Mathematics;2012-05
4 Zhao Peibiao Yang Xiaoping (Department of Applied Mathematics,Nanjing University of Science and Technology,Nanjing 210094);Existence Theorem of Micro-Tangent Sets of Continuous Functions[J];Acta Mathematica Scientia;2008-05
5 Zhao Peibiao Yang Xiaoping(Department of Applied Mathematics,Nanjing University of Science and Technology,Nanjing 210094);Rectifiability Properties of Varifolds[J];Acta Mathematica Scientia;2008-06
【Co-references】
Chinese Journal Full-text Database 1 Hits
1 Zhao Peibiao Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China Yang Xiaoping School of Science, Nanjing University of Science and Technology, Nanjing 210094, China;ON STATIONARY HYPERSURFACES IN EUCLIDEAN SPACES[J];数学物理学报(英文版);2006-02
【Secondary References】
Chinese Journal Full-text Database 1 Hits
1 Rui Jie (School of Mathematics and Computational Sciences,China University of Petroleum, Shandong Dongying 257061) Yang Xiaoping (School of Science,Nanjing University of Science and Technology,Nanjing 210094);Existence of Weak Solutions for the Minimizing Total Variation Flow with Dirichlet Boundary Conditions[J];Acta Mathematica Scientia;2011-04
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved