We prove that a slight modification of the notion of α-absolute continuity introduced in [D. Bongiorno, Absolutely continuous functions in Rn, J. Math. Anal. Appl. 303 (2005) 119–134] is equivalent to the notion of n, λ-absolute continuity given by S. Hencl in [S. Hencl, On the notions of absolute continuity for functions of several variables, Fund. Math. 173 (2002) 175–189].
BONGIORNO D (2008). On the Hencl's notion of absolute continuity. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 350 (2008), 562-567 [10.1016/j.jmaa.2008.03.059].
On the Hencl's notion of absolute continuity
BONGIORNO, Donatella
2008-01-01
Abstract
We prove that a slight modification of the notion of α-absolute continuity introduced in [D. Bongiorno, Absolutely continuous functions in Rn, J. Math. Anal. Appl. 303 (2005) 119–134] is equivalent to the notion of n, λ-absolute continuity given by S. Hencl in [S. Hencl, On the notions of absolute continuity for functions of several variables, Fund. Math. 173 (2002) 175–189].
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