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.

Bongiorno, D. (2017). Absolutely continuous functions with values in a Banach space. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 451(Issue 2, 15 July 2017), 1216-1223 [10.1016/j.jmaa.2017.02.067].

Absolutely continuous functions with values in a Banach space

BONGIORNO, Donatella
2017-01-01

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.
2017
Bongiorno, D. (2017). Absolutely continuous functions with values in a Banach space. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 451(Issue 2, 15 July 2017), 1216-1223 [10.1016/j.jmaa.2017.02.067].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/225409
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