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.
Data di pubblicazione: | 2007 | |
Titolo: | Absolute continuity for Banach space valued mappings | |
Autori: | ||
Citazione: | DI BARI, C., & Vetro, C. (2007). Absolute continuity for Banach space valued mappings. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 56, 116-124. | |
Rivista: | ||
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. | |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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