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  • Author or Editor: L. Zajíček x
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Let X be a Banach space and α ∈ (0, 1]. We find equivalent conditions for a function f: [0,1] → X to admit an equivalent parametrization, which is C 1,α (i.e., has α-Hölder derivative). For X = ℝ, a characterization is well-known. However, even in the case X = ℝ2 several new ideas are needed.

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