摘要：<正> By applying the theory of quasiconformal maps in measure metric spaces that was intro-duced by Heinonen Koskela,we characterize bi-Lipschitz maps by modulus inequalities of rings andmaximal,minimal derivatives in Q-regular Loewner spaces.Meanwhile the sufficient and necessaryconditions for quasiconformal maps to become bi-Lipschitz maps are also obtained.These resultsgeneralize Rohde’s theorem in■and improve Balogh’s corresponding results in Carnot groups.

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