On functions of (ϕ, 2, α)-bounded variation

On functions of (ϕ, 2, α)-bounded variation

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

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Autores principales: Castillo,René Erlín, Chaparro,Héctor Camilo, Trousselot,Eduard
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:
Riesz p-variation
(ϕ, 2)-bounded variation
Bounded variation
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501201
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