Regular subclasses in the Sobolev space W_{loc}^{1,n}
- Autori: Bongiorno, D
- Anno di pubblicazione: 2009
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Sobolev space, Absolute continuity.
- OA Link: http://hdl.handle.net/10447/62494
Abstract
Westudy some slight modifications of the class AC^n introduced in [D. Bongiorno, Absolutely continuous functions in Rn, J. Math. Anal. and Appl. 303 (2005) 119 134]. In particular we prove that the classes introduced in [C. Di Bari, C. Vetro, A remark on absolutely continuous functions in R^n, Rend. Circ. Matem. Palermo 55 (2006) 296 304] are independent by and contain properly the class AC^n.