We consider a definition of p, δ-variation for real functions of several variables which givesinformation on the differentiability almost everywhere and the absolute integrability of its partial derivatives on a measurable set. This definition of p, δ-variation extends the definition of n-variation of Malý and the definition of p-variation of Bongiorno. We conclude with a result of change of variables based on coarea formula.
|Numero di pagine||8|
|Rivista||Journal of Mathematical Analysis and Applications|
|Stato di pubblicazione||Published - 2004|
All Science Journal Classification (ASJC) codes
- Applied Mathematics