A generalization for the Riesz p-variation

René Erlin Castillo; Humberto Rafeiro; Eduard Trousselot

doi:10.15446/recolma.v48n2.54123

A generalization for the Riesz p-variation

René Erlin Castillo
, Humberto Rafeiro
, Eduard Trousselot

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	165-190
Number of pages	26
Journal	Revista Colombiana de Matematicas
Volume	48
Issue number	2
DOIs	https://doi.org/10.15446/recolma.v48n2.54123
Publication status	Published - 2014
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

General Mathematics

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10.15446/recolma.v48n2.54123

Cite this

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title = "A generalization for the Riesz p-variation",

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year = "2014",

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AU - Castillo, René Erlin

AU - Rafeiro, Humberto

AU - Trousselot, Eduard

PY - 2014

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N2 - 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.

AB - 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.

KW - (φ, α)-bounded variation

KW - Bounded variation

KW - Riesz p-variation

UR - https://www.scopus.com/pages/publications/84922359164

UR - https://www.scopus.com/pages/publications/84922359164#tab=citedBy

U2 - 10.15446/recolma.v48n2.54123

DO - 10.15446/recolma.v48n2.54123

M3 - Article

AN - SCOPUS:84922359164

SN - 0034-7426

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JO - Revista Colombiana de Matematicas

JF - Revista Colombiana de Matematicas

IS - 2

ER -

A generalization for the Riesz p-variation

Abstract

Keywords

ASJC Scopus subject areas

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