A local notion of absolute continuity in IR^n

Calogero Vetro; Cristina Di Bari

A local notion of absolute continuity in IR^n

Matematica e Informatica

Risultato della ricerca: Article › peer review

Abstract

We consider the notion of p, δ-absolute continuity for functions of several variablesintroduced in [2] and we investigate the validity of some basic properties that areshared by absolutely continuous functions in the sense of Maly. We introduce the class$δ−BV^p_loc(\Omega,IR^m)$ and we give a characterization of the functions belonging to this class.

Lingua originale	English
pagine (da-a)	101-108
Numero di pagine	8
Rivista	Rendiconti del Circolo Matematico di Palermo
Volume	54
Stato di pubblicazione	Published - 2005

All Science Journal Classification (ASJC) codes

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abstract = "We consider the notion of p, δ-absolute continuity for functions of several variablesintroduced in [2] and we investigate the validity of some basic properties that areshared by absolutely continuous functions in the sense of Maly. We introduce the class$δ−BV^p_loc(\Omega,IR^m)$ and we give a characterization of the functions belonging to this class.",

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AU - Vetro, Calogero

AU - Di Bari, Cristina

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AB - We consider the notion of p, δ-absolute continuity for functions of several variablesintroduced in [2] and we investigate the validity of some basic properties that areshared by absolutely continuous functions in the sense of Maly. We introduce the class$δ−BV^p_loc(\Omega,IR^m)$ and we give a characterization of the functions belonging to this class.

UR - http://hdl.handle.net/10447/4762

M3 - Article

SN - 0009-725X

VL - 54

SP - 101

EP - 108

JO - Rendiconti del Circolo Matematico di Palermo

JF - Rendiconti del Circolo Matematico di Palermo

ER -

A local notion of absolute continuity in IR^n

Abstract

All Science Journal Classification (ASJC) codes

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