On functions of (?, 2, ?)-bounded variation

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-2020-05-0074

Keywords:

Riesz p-variation, (φ, 2)-bounded variation, Bounded variation

Abstract

We introduce the (?, 2, ?)-bounded variation spaces, which are a common generalization between Riesz’s spaces, p-variation and ?, 2)-bounded variation spaces. We also study its structure as Banach spaces, as well as some embedding results.

Author Biographies

René Erlín Castillo, Universidad Nacional de Colombia.

Dept. de Matemáticas.

Héctor Camilo Chaparro Gutiérrez, Universidad Militar Nueva Granada.

Dept. de Matemáticas.

Eduard Trousselot, Universidad de Oriente.

Dept. de  Matemáticas.

References

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Published

2020-10-01

How to Cite

[1]
R. E. Castillo, H. C. Chaparro Gutiérrez, and E. Trousselot, “On functions of (?, 2, ?)-bounded variation”, Proyecciones (Antofagasta, On line), vol. 39, no. 5, pp. 1201-1220, Oct. 2020.

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