Absolutely continuous functions with values in a Banach space

Donatella Bongiorno

Risultato della ricerca: Article

Abstract

Let Ω be an open subset of Rn, 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.
Lingua originaleEnglish
pagine (da-a)1216-1223
Numero di pagine8
RivistaJournal of Mathematical Analysis and Applications
Volume451
Stato di pubblicazionePublished - 2017

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Absolutely Continuous Functions
Banach spaces
Set theory
Differentiable
Banach space
Subset

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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Absolutely continuous functions with values in a Banach space. / Bongiorno, Donatella.

In: Journal of Mathematical Analysis and Applications, Vol. 451, 2017, pag. 1216-1223.

Risultato della ricerca: Article

Bongiorno, D 2017, 'Absolutely continuous functions with values in a Banach space', Journal of Mathematical Analysis and Applications, vol. 451, pagg. 1216-1223.
Bongiorno D. Absolutely continuous functions with values in a Banach space. Journal of Mathematical Analysis and Applications. 2017;451:1216-1223.
Bongiorno, Donatella. / Absolutely continuous functions with values in a Banach space. In: Journal of Mathematical Analysis and Applications. 2017 ; Vol. 451. pagg. 1216-1223.
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