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

• Castillo, René Erlín ^[1] ; Chaparro Gutiérrez, Héctor Camilo ^[2] ; Trousselot, Eduard ^[3]
  1. [1] Universidad Nacional de Colombia

     Universidad Nacional de Colombia

     Colombia

     
  2. [2] Universidad Militar Nueva Granada

     Universidad Militar Nueva Granada

     Colombia

     
  3. [3] Universidad de Oriente

     Universidad de Oriente

     Venezuela

     

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• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 5, 2020, págs. 1201-1220
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-2020-05-0074
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• Resumen

  • 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.

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