On the Hencl's notion of absolute continuity

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Abstract

We prove that a slight modification of the notion of α-absolute continuity introduced in [D. Bongiorno, Absolutely continuousfunctions in Rn, J. Math. Anal. Appl. 303 (2005) 119–134] is equivalent to the notion of n, λ-absolute continuity given by S. Henclin [S. Hencl, On the notions of absolute continuity for functions of several variables, Fund. Math. 173 (2002) 175–189].
Lingua originaleEnglish
pagine (da-a)562-567
Numero di pagine6
RivistaJournal of Mathematical Analysis and Applications
Volume350 (2008)
Stato di pubblicazionePublished - 2008

All Science Journal Classification (ASJC) codes

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