### Abstract

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 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Analysis
- Applied Mathematics

### Cita questo

*Journal of Mathematical Analysis and Applications*,

*299*, 227-234.

**A remark on differentiable functions with partial derivatives in Lp.** / Di Bari, Cristina; Vetro, Calogero; Di Bari, Cristina.

Risultato della ricerca: Article

*Journal of Mathematical Analysis and Applications*, vol. 299, pagg. 227-234.

}

TY - JOUR

T1 - A remark on differentiable functions with partial derivatives in Lp

AU - Di Bari, Cristina

AU - Vetro, Calogero

AU - Di Bari, Cristina

PY - 2004

Y1 - 2004

N2 - We consider a definition of p, δ-variation for real functions of several variables which gives information 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.

AB - We consider a definition of p, δ-variation for real functions of several variables which gives information 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.

UR - http://hdl.handle.net/10447/16702

M3 - Article

VL - 299

SP - 227

EP - 234

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

ER -