On the supremum of a family of set functions

Cambronero, Santiago; Campos Fernández, José David; Fonseca Mora, Christian Andrés; Mena Arias, Darío Alberto

doi:https://doi.org/10.48550/arXiv.2308.10914

On the supremum of a family of set functions

Archivos

2308.10914.pdf (190,95 KB)

Fecha

2023

Authors

Cambronero, Santiago

Campos Fernández, José David

Fonseca Mora, Christian Andrés

Mena Arias, Darío Alberto

DOI

https://doi.org/10.48550/arXiv.2308.10914

Resumen

The concept of supremum of a family of set functions was introduced by M. Veraar and I. Yaroslavtsev (2016) for families of measures defined on a measurable space. We expand this concept to include families of set functions in a very general setting. The case of families of signed measures is widely discussed and exploited.