科研之友
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摘要
By applying the theory of quasiconformal maps in measure metric spaces that was introduced by Heinoncn-Koskela, we characterize bi-Lipschitz maps by modulus inequalities of rings and maximal, minimal derivatives in Q-regular Loewner spaces. Meanwhile the sufficient and necessary conditions for quasiconformal maps to become bi-Lipschitz maps are also obtained. These results generalize Rohde's theorem in R(n) and improve Balogh's corresponding results in Carnot groups.
- 出版日期2008-9
- 单位上海交通大学
