A NEW FULL DESCRIPTIVE CHARACTERIZATION OF DENJOY-PERRON INTEGRAL
Bongiorno, Luisa Di Piazza, Skvortsov · Real Analysis Exchange · 1995
It is proved that the absolute continuity of the variational measure generated by an additive interval function \(F\) implies the differentiability almost everywhere of the function \(F\) and gives a full descriptive characterization of the Denjoy-Perron integral.