Abstract

CASTILLO, RENÉ ERLIN; RAFEIRO, HUMBERTO  and  TROUSSELOT, EDUARD. A Generalization for the Riesz p-Variation. Rev.colomb.mat. [online]. 2014, vol.48, n.2, pp.165-190. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v48n2.54123.

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.

Keywords : Riesz p-variation; (\phi; α)-Bounded variation; Bounded variation.

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