On vector-valued curves that allow a \(C^{1,\alpha}\)-parametrization

DOI10.1007/s10474-010-9094-xzbMath1224.26090OpenAlexW1974696799MaRDI QIDQ532066

Luděk Zajíček, Jakub Duda

Publication date: 26 April 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-010-9094-x

zbMATH Keywords

functions of bounded variation\(C^{1,\alpha}\)-parametrizationcontinuous path in a Banach spacecurve in Banach spacesdifferentiability via homeomorphismsparametrization with a Hölder derivative

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Curves in Euclidean and related spaces (53A04) Calculus of functions taking values in infinite-dimensional spaces (26E20)

Related Items (1)

Curves in Banach spaces which allow a C 1,BV parametrization or a parametrization with finite convexity

Cites Work

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• Inequalities Connected with Bounded _p th Power Variation in the Wiener Sense and with Integrated Lipschitz Conditions
• A Study of α-Variation. I.

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