摘要
本文证明上Assouad维数为s的一致不连通集可以双李卜希兹嵌入到下维数为t的集合中,其中t>s.推广了Mattila和Saaranen(2009)得到的已有结果.
In this paper, we prove a uniformly disconnected set with Assouad dimension s can be embeded into a set whose low dimension is t by bilipschitz mappings, where t〉 s.This result generalizes the former one in literature of Matlila and Saaranen（2009）.
出处
《应用数学》
CSCD
北大核心
2017年第3期693-698,共6页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China(11301162)
