6533b857fe1ef96bd12b4482
RESEARCH PRODUCT
Absolutely continuous functions with values in a Banach space
Donatella Bongiornosubject
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 mathematicsAnalysisMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-07-01 |