Abstract
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.
| Lingua originale | English |
|---|---|
| pagine (da-a) | 227-234 |
| Numero di pagine | 8 |
| Rivista | Journal of Mathematical Analysis and Applications |
| Volume | 299 |
| Stato di pubblicazione | Published - 2004 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
Cita questo
Di Bari, C., Vetro, C., Di Bari, C., & Vetro, C. (2004). A remark on differentiable functions with partial derivatives in Lp. Journal of Mathematical Analysis and Applications, 299, 227-234.