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Research Article Open access CC BY 4.0

On Absolute Continuity of Non Negative Functions

Levi Otanga Olwamba

Asian Research Journal of Mathematics · pp. 385–392 · Published 17 Nov 2022

10.9734/arjom/2022/v18i11617

Abstract

This paper is committed to the study of absolute continuity of non negative functions with respect to vector measures. Almost everywhere properties are applied to establish boundedness, measurability and convergence of sequences of measurable functions. The measurability of sets with respect to vector duality functions with values in a Hilbert space is considered.

Measurable sets absolute continuity integrable functions non-negative functions functions

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