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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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2020
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oai:scielo:S0716-091720200005012012020-11-16On functions of (ϕ, 2, α)-bounded variationCastillo,René ErlínChaparro,Héctor CamiloTrousselot,Eduard Riesz p-variation (ϕ, 2)-bounded variation 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.5 20202020-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501201en10.22199/issn.0717-6279-2020-05-0074 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Riesz p-variation (ϕ, 2)-bounded variation Bounded variation |
| spellingShingle |
Riesz p-variation (ϕ, 2)-bounded variation Bounded variation Castillo,René Erlín Chaparro,Héctor Camilo Trousselot,Eduard On functions of (ϕ, 2, α)-bounded variation |
| description |
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. |
| author |
Castillo,René Erlín Chaparro,Héctor Camilo Trousselot,Eduard |
| author_facet |
Castillo,René Erlín Chaparro,Héctor Camilo Trousselot,Eduard |
| author_sort |
Castillo,René Erlín |
| title |
On functions of (ϕ, 2, α)-bounded variation |
| title_short |
On functions of (ϕ, 2, α)-bounded variation |
| title_full |
On functions of (ϕ, 2, α)-bounded variation |
| title_fullStr |
On functions of (ϕ, 2, α)-bounded variation |
| title_full_unstemmed |
On functions of (ϕ, 2, α)-bounded variation |
| title_sort |
on functions of (ϕ, 2, α)-bounded variation |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2020 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501201 |
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