Homogeneous Besov spaces associated with the spherical mean operator

L.T. Rachdi; A. Rouz

doi:10.4067/S0719-06462011000200001

Homogeneous Besov spaces associated with the spherical mean operator

Authors

L.T. Rachdi Department of Mathematics, Faculty of Sciences of Tunis, 2092 El Manar 2 Tunis, Tunisia.
A. Rouz Department of Mathematics, Faculty of Sciences of Tunis, 2092 El Manar 2 Tunis, Tunisia.

DOI:

https://doi.org/10.4067/S0719-06462011000200001

Keywords:

Spherical mean operator, Besov space, Banach space, Fourier transform

Abstract

We define and study homogeneous Besov spaces associated with the spherical mean operator. We establish some results of completeness, continuous embeddings and density of subspaces. Next, we define a discrete equivalent norm on this space and we give other properties.