Quasi-Lipschitz equivalence of quasi Ahlfors-David regular sets  

作　　者：WANG Qin XI LiFeng 

机构地区：[1]School of Computer Science and Information Technology, Zhejiang Wanli University, Ningbo 315100, China [2]Institute of Mathematics, Zhejiang Wanli University, Ningbo 315100, China

出　　处：《Science China Mathematics》2011年第12期2573-2582,共10页中国科学：数学（英文版）

基　　金：supported by the Program for New Century Excellent Talents in University of China;National Natural Science Foundation of China (Grant No. 11071224)

摘　　要：Suppose compact sets E and F are quasi uniformly disconnected and quasi Ahlfors-David regular.This paper proves that E and F are quasi-Lipschitz equivalent if and only if they have the same Hausdorff dimension.Suppose compact sets E and F are quasi uniformly disconnected and quasi Ahlfors-David regular. This paper proves that E and F are quasi-Lipschitz equivalent if and only if they have the same Hausdorff dimension.

关 键 词：FRACTAL quasi-Lipschitz equivalence Ahlfors-David regularity 

分 类 号：O174.41[理学—数学] O11[理学—基础数学]