Issue:

SSRSMI, Number 2, Volume XIX

Section:

Volume 19, Number 2

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^p space).

Keywords:

set multifunction, multisubmeasure, variation, totally-measurable in variation, atom, finitely purely atomic, L^p.

Code [ID]:

SSRSMI200902V19S01A0022 [0003134]

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