Let Ω be an open subset of Rn, n >1, and let X be a Banach space. We prove that α-absolutely continuous functions f: Ω →X are continuous and differentiable (in some sense) almost everywhere in Ω.
|Number of pages||8|
|Journal||Journal of Mathematical Analysis and Applications|
|Publication status||Published - 2017|
All Science Journal Classification (ASJC) codes
- Applied Mathematics