Level sets of Hölder functions and Hausdorff measures.

DOI10.4171/ZAA/1103zbMath1035.26009OpenAlexW2064680208MaRDI QIDQ1848664

D'Aniello, Emma

Publication date: 2002

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1103

zbMATH Keywords

level setsHausdorff measuresHölder functionszero-derivative sets

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Singular functions, Cantor functions, functions with other special properties (26A30) Hausdorff and packing measures (28A78)

Cites Work

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• Homeomorphisms of an interval and smoothness of a function
• Differentiability Through Change of Variables
• The Level Structure of a Residual Set of Continuous Functions
• Level sets of a typical 𝐶ⁿ function
• On the Complementary Intervals of a Linear Closed Set of Zero Lebesgue Measure
• On the existence of \(C^1\) functions with perfect level sets
• \(C^n\) functions, Hausdorff measures, and analytic sets

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