Abstract
In this paper, we study different basic problems concerning real valued functions which are totally-measurable with respect to the variation of a (multi)submeasure. As applications, special considerations on their relation with Gould type integrability and additional problems are given (e.g., a Fatou lemma type, the Banach structure of a L<sup>p</sup> space).
Cuvinte cheie
set multifunction
multisubmeasure
variation
totally-measurable in variation
atom
finitely purely atomic
L<sup>p</sup>