Search results for "Metric differentiability"

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Absolutely continuous functions with values in a Banach space

2017

Abstract Let Ω be an open subset of R n , n > 1 , and let X be a Banach space. We prove that α-absolutely continuous functions f : Ω → X are continuous and differentiable (in some sense) almost everywhere in Ω.

Discrete mathematicsApplied Mathematics010102 general mathematicsBanach space0102 computer and information sciencesAbsolute continuity01 natural sciencesw⁎-DifferentiabilitySobolev spaceMetric differentiability010201 computation theory & mathematicsSettore MAT/05 - Analisi MatematicaPointwise Lipschitz functionAlmost everywhereDifferentiable function0101 mathematicsAnalysisMathematics
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