Atomicity related to non-additive integrability
  In this paper we present some results concerning Gould integrability of vector functions with respect to a monotone measure on finitely purely atomic measure spaces. As an application a Radon-Nikodym theorem in this setting is obtained. 
Domenico Candeloro, Anca Croitoru, Alina GAvrilut, Anna Rita Sambucini
math.FA