Doi: http://dx.doi.org/10.15446/recolma.v48n2.54123

¹Universidad Nacional de Colombia, Bogotá, Colombia. Email: recastillo@unal.edu.co
²Pontificia Universidad Javeriana, Bogotá, Colombia. Email: silva-h@javeriana.edu.co
³Universidad de Oriente, Cumaná, Venezuela. Email: eddycharles2007@gmail.com

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.

Key words: Riesz p-variation, (\phi, α)-Bounded variation, Bounded variation.

En este artículo se introduce una generalización del concepto de \hboxp-variación de Riesz y se construye un espacio de funciones que es normalizable y además es tanto espacio de Banach como un álgebra de Banach. Adicionalmente, usando el enfoque dado por Medved'ev se obtiene una caracterización integral de las funciones en dicho espacio funcional.

Palabras clave: p-Variación de Riesz, variación (\phi, α)-acotada, variación acotada.

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References

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