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].
2008
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].
File in questo prodotto:
File Dimensione Formato  
33458.pdf

Solo gestori archvio

Dimensione 122.75 kB
Formato Adobe PDF
122.75 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/33458
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 3
social impact