Cantor sets of low density and Lipschitz functions on C¹ curves

2021/08/05 by Rafael Chiclana, Chiclana, Rafael
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2108.02663

openalex publication_date 2021/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize the functions f\colon [0,1] \longrightarrow [0,1] for which there exists a measurable set C⊆ [0,1] of positive measure satisfying (|C∩ I|)/(|I|)

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• Characterization of lip sets
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