A local notion of absolute continuity in IR^n
- Authors: DI BARI C; VETRO C
- Publication year: 2005
- Type: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/4762
Abstract
We consider the notion of p, δ-absolute continuity for functions of several variables introduced in [2] and we investigate the validity of some basic properties that are shared by absolutely continuous functions in the sense of Maly. We introduce the class $δ−BV^p_loc(\Omega,IR^m)$ and we give a characterization of the functions belonging to this class.