A remark on differentiable functions with partial derivatives in Lp

Cristina Di Bari, Calogero Vetro, Cristina Di Bari

Risultato della ricerca: Article

3 Citazioni (Scopus)

Abstract

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.
Lingua originaleEnglish
pagine (da-a)227-234
Numero di pagine8
RivistaJournal of Mathematical Analysis and Applications
Volume299
Stato di pubblicazionePublished - 2004

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Partial derivative
Differentiable
Derivatives
P-variation
Measurable set
Change of Variables
Several Variables
Differentiability
Integrability

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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

In: Journal of Mathematical Analysis and Applications, Vol. 299, 2004, pag. 227-234.

Risultato della ricerca: Article

Di Bari, C, Vetro, C & Di Bari, C 2004, 'A remark on differentiable functions with partial derivatives in Lp', Journal of Mathematical Analysis and Applications, vol. 299, pagg. 227-234.
Di Bari C, Vetro C, Di Bari C. A remark on differentiable functions with partial derivatives in Lp. Journal of Mathematical Analysis and Applications. 2004;299:227-234.
Di Bari, Cristina ; Vetro, Calogero ; Di Bari, Cristina. / A remark on differentiable functions with partial derivatives in Lp. In: Journal of Mathematical Analysis and Applications. 2004 ; Vol. 299. pagg. 227-234.
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