24 | 07 | 2017

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Article 40

Characterizations of VBG ∩ (N) and VB*G ∩ (N) by means of appropriate variational outer measures

Revue Roum. Pures et Appl.

Mathematical reviews subject classification: 26A45, 26A46, 26A24.

 

Abstract

We give other full characterizations of the classes VBG ∩ (N) and VB*G ∩ (N) for Lebesgue measurable functions on bounded Lebesgue measurable sets, using the absolute continuity for appropriate variational outer measures.

As a consequence it follows again that these classes are algebras.