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.
