|
| 摘要: |
| 本文研究了欧式空间上拟对称映射的不变量问题,利用定义集合间隔序列的方法,获得了一个新的d-维拟对称映射的不变量,深化了Lipschitz不变量研究中类似的结果. |
| 关键词: 分形 间隔序列 拟对称映射 |
| DOI： |
| 分类号:O18 |
| 基金项目:国家自然科学基金资助(11301092);高等学校博士学科点专项科研基金资助(20100172120027). |
|
| GAP SEQUENCE AND QUASISYMMETRIC MAPPING |
|
LOU Man-Li
|
| Abstract: |
| In this paper we study the problem of invariants of quasisymmetric mappings on the Euclidean spaces. By making use of the deflnition of gap sequence of sets, we obtain a new invariant of d-dimensional quasisymmetric mapping. This result is a complement of a similar result on the study of Lipschitz invariants. |
| Key words: fractals gap sequence quasisymmetric mapping |
