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On the supremum of a family of set functions

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

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Abstract

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.

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MATHEMATICS

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https://arxiv.org/abs/2308.10914

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