# Operateurs absolument continus et interpolation

## TL;DR

This paper investigates absolutely continuous operators on broad function spaces, focusing on their properties and behavior within interpolation spaces, providing new insights into their structure and applications.

## Contribution

It introduces new results on absolutely continuous operators in the context of interpolation spaces, expanding understanding of their properties in these settings.

## Key findings

- Characterization of absolutely continuous operators on wide sense function spaces.
- Results on the behavior of these operators within interpolation spaces.
- Enhanced understanding of the structure of absolutely continuous operators.

## Abstract

In the first part of this work, we study the absolutely continuous operators which are defined on fuction spaces with wide sense. In the second part, we show some results concerning the absoltely continuous operators when the function spaces (with wide sense) are interpolation spaces.