We consider the notion of p,λ,δ-absolute continuity for Banach space valued mappings introduced in [2] for real valued functions and for λ = 1. We investigate the validity of some basic properties that are shared by n, λ-absolutely continuous functions in the sense of Maly and Hencl. We introduce the class $δ-BV^p_{λ,loc}$ and we give a characterization of the functions belonging to this class.

DI BARI C, VETRO C (2007). Absolute continuity for Banach space valued mappings. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 56, 116-124.

Absolute continuity for Banach space valued mappings

DI BARI, Cristina;VETRO, Calogero
2007-01-01

Abstract

We consider the notion of p,λ,δ-absolute continuity for Banach space valued mappings introduced in [2] for real valued functions and for λ = 1. We investigate the validity of some basic properties that are shared by n, λ-absolutely continuous functions in the sense of Maly and Hencl. We introduce the class $δ-BV^p_{λ,loc}$ and we give a characterization of the functions belonging to this class.
2007
DI BARI C, VETRO C (2007). Absolute continuity for Banach space valued mappings. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 56, 116-124.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/10849
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