THE CAPACITY DENSITY AND THE HAUSDORFF DIMENSION OF FRACTAL SETS

作     者：Xu You (Institute of Mathematics, Fudan University, Shanghai 200433, Shanghai, China). Xu You (Institute of Mathematics, Fudan University, Shanghai 200433, Shanghai, China).

作者机构：复旦大学数学所 上海 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：1995年第16卷第1期

页      面：43-50页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

主　　题：Capacity density Hausdorff dimension Fractal set. 

摘      要：This paper defines the upper capacity densities of the subsets of R￣n, gets uniform lower bound of the upper capacity densities for -almost all points of the Hausdorff s-sets or the analytic sets with Hausdorff dimension s in R￣n which improves the results of Wen Zhiying and Zhang Yiping s paper in [1].