Article ID Journal Published Year Pages File Type
4621812 Journal of Mathematical Analysis and Applications 2007 16 Pages PDF
Abstract

This paper proves that if F⊂R1F⊂R1 is a complete set equipped with some suitable Moran-like structure, then there is a constant c0>1c0>1 such that for any bi-Lipschitz bijection f:F→F,blip(f)=1orblip(f)⩾c0, where lip(g)=supx≠y|g(x)−g(y)||x−y| and blip(g)=max{lip(g),lip(g−1)}blip(g)=max{lip(g),lip(g−1)}.

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Physical Sciences and Engineering Mathematics Analysis
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