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

DOI10.1007/s10587-013-0072-7zbMath1313.26047OpenAlexW2092357790MaRDI QIDQ2931451

Jakub Duda, Luděk Zajíček

Publication date: 25 November 2014

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10587-013-0072-7

zbMATH Keywords

curves in Banach spaces\(C^{1,\text{BV}}\) parametrizationparametrization with bounded convexity

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Curves in Euclidean and related spaces (53A04) Functions of bounded variation, generalizations (26A45) Calculus of functions taking values in infinite-dimensional spaces (26E20)

Cites Work

• On vector-valued curves that allow a \(C^{1,\alpha}\)-parametrization
• Homeomorphisms of an interval and smoothness of a function
• On mappings of bounded variation
• Second order differentiability of paths via a generalized \(\frac 1 2\)-variation
• Differentiability via curves in Banach spaces homeomorphisms
• Linear differential equations and functional analysis. I
• Curves in Banach spaces which allow a C ² -parameterization
• Curves with finite turn
• Generalized α-variation and Lebesgue equivalence to differentiable functions
• Rectifiable Metric Spaces: Local Structure and Regularity of the Hausdorff Measure
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