Regular subclasses in the Sobolev space W_{loc}^{1,n}
- Authors: Bongiorno, D
- Publication year: 2009
- Type: Articolo in rivista (Articolo in rivista)
- Key words: 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.