THE MULTIFRACTAL HAUSDORFF AND PACKING MEASURE OF GENERAL SIERPINSKI CARPETS

作     者：黄立虎 余旌胡 Huang Lihu (Department of Statistics, Reamin University of China, Beijing 100872, China) Yu Jinghu (Wuhan Institufe of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 450071, China)

作者机构：Department of Statistics Renmin University of China Beijing 100872 China Wuhan Institute of Physics and Mathematics The Chinese Academy of Sciences Wuhan 430071 China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2000年第20卷第3期

页      面：313-321页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

基　　金：the National Natural Sciences Foundation of China Special Funds of State Education Committee for Doctorate Scientific Resear 

主　　题：multifractal Hausdorff measure multifractal packing measure general Sierpinski carpets 

摘      要：In this paper, authors study the properties of multifractal Hausdorff and packing measures for a class of self-affine sets and use them to study the multifractal properties of general Sierpinski carpet E, and they get that the multifractal Hausdorff and packing measure are mutual singular, when they are restricted on some subsets of E.