Absolute continuity for Banach space valued mappings

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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.
Lingua originaleEnglish
pagine (da-a)116-124
RivistaRendiconti del Circolo Matematico di Palermo
Volume56
Stato di pubblicazionePublished - 2007

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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