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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Autores principales: Rachdi,L.T, Rouz,A
Lenguaje:English
Publicado: 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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spelling 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
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