A generalization for the Riesz p-variation

René Erlin Castillo, Humberto Rafeiro, Eduard Trousselot

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


In this paper we introduce a generalization of the concept of Riesz p-variation and construct a function space which is normalizable and moreover is a Banach space as well as a Banach algebra. Furthermore, using Medved'ev approach we obtain an integral characterization of the functions in this function space.

Original languageEnglish
Pages (from-to)165-190
Number of pages26
JournalRevista Colombiana de Matematicas
Issue number2
Publication statusPublished - 2014
Externally publishedYes


  • (φ, α)-bounded variation
  • Bounded variation
  • Riesz p-variation

ASJC Scopus subject areas

  • General Mathematics


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