Homogeneous Besov spaces associated with the spherical mean operator

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DOI:

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

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.

Keywords

Spherical mean operator , Besov space , Banach space , Fourier transform
  • 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.
  • Pages: 1–35
  • Date Published: 2011-06-01
  • Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal

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Published

2011-06-01

How to Cite

[1]
L. Rachdi and A. Rouz, “Homogeneous Besov spaces associated with the spherical mean operator”, CUBO, vol. 13, no. 2, pp. 1–35, Jun. 2011.

Issue

Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal

Section

Articles