Homogeneous Besov Spaces associated with the spherical mean operator
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.
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2011
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Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200001 |
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oai:scielo:S0719-064620110002000012018-10-08Homogeneous Besov Spaces associated with the spherical mean operatorRachdi,L.TRouz,A Spherical mean operator Besov space Banach space Fourier transform 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.13 n.2 20112011-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200001en10.4067/S0719-06462011000200001 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
topic |
Spherical mean operator Besov space Banach space Fourier transform |
spellingShingle |
Spherical mean operator Besov space Banach space Fourier transform Rachdi,L.T Rouz,A Homogeneous Besov Spaces associated with the spherical mean operator |
description |
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. |
author |
Rachdi,L.T Rouz,A |
author_facet |
Rachdi,L.T Rouz,A |
author_sort |
Rachdi,L.T |
title |
Homogeneous Besov Spaces associated with the spherical mean operator |
title_short |
Homogeneous Besov Spaces associated with the spherical mean operator |
title_full |
Homogeneous Besov Spaces associated with the spherical mean operator |
title_fullStr |
Homogeneous Besov Spaces associated with the spherical mean operator |
title_full_unstemmed |
Homogeneous Besov Spaces associated with the spherical mean operator |
title_sort |
homogeneous besov spaces associated with the spherical mean operator |
publisher |
Universidad de La Frontera. Departamento de Matemática y Estadística. |
publishDate |
2011 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200001 |
work_keys_str_mv |
AT rachdilt homogeneousbesovspacesassociatedwiththesphericalmeanoperator AT rouza homogeneousbesovspacesassociatedwiththesphericalmeanoperator |
_version_ |
1714206771967426560 |