A remark on absolutely continuous functions in IR^n

Di Bari C; Vetro C

Risultato della ricerca: Article

1 Citazione (Scopus)

Abstract

We introduce the notion of α, λ-absolute continuity for functions of several variables and we compare it with the Hencl’s definition. We obtain that each α,λ-absolutely continuous function is n, λ-absolutely continuous in the sense of Hencl and hence is continuous, differentiable almost everywhere and satisfies change of variables results based on a coarea formula and an area formula.
Lingua originaleEnglish
pagine (da-a)296-304
RivistaRendiconti del Circolo Matematico di Palermo
Volume55
Stato di pubblicazionePublished - 2006

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Absolutely Continuous Functions
Area formula
Absolute Continuity
Change of Variables
Absolutely Continuous
Differentiable

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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A remark on absolutely continuous functions in IR^n. / Di Bari C; Vetro C.

In: Rendiconti del Circolo Matematico di Palermo, Vol. 55, 2006, pag. 296-304.

Risultato della ricerca: Article

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