## Real Analysis Exchange

### Hake-Alexandroff-Looman Type Theorems

Vasile Ene

#### Abstract

In this paper we shall study three kinds of descriptive type integrals, that all generalize the wide Denjoy integral. In fact the classes of primitives for these integrals, restricted to the continuous functions, are $ACG$. We shall also study five kinds of Perron type integrals, that are all in a close relationship with the descriptive type integrals. In the last three sections we show some relationships between the descriptive type integrals and the Perron type integrals.

#### Article information

Source
Real Anal. Exchange, Volume 23, Number 2 (1999), 491-524.

Dates
First available in Project Euclid: 14 May 2012