Quasi-Lipschitz equivalence of quasi Ahlfors-David regular sets

被引：0
|
作者：
Qin Wang
LiFeng Xi
机构：
[1] Zhejiang Wanli University,School of Computer Science and Information Technology
[2] Zhejiang Wanli University,Institute of Mathematics
来源：
Science China Mathematics | 2011年 / 54卷
关键词：
fractal; quasi-Lipschitz equivalence; Ahlfors-David regularity; 28A80;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：2573 / 2582
页数：9
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