A remark on absolutely continuous functions in IR^n
- Autori: DI BARI C; VETRO C
- Anno di pubblicazione: 2006
- Tipologia: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/31560
Abstract
We introduce the notion of α, λ-absolute continuity for functions of several variables and we compare it with the Hencl’s definition. We obtain that each α,λ-absolutely continuous function is n, λ-absolutely continuous in the sense of Hencl and hence is continuous, differentiable almost everywhere and satisfies change of variables results based on a coarea formula and an area formula.