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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Bibliographic Details
Main Authors:	Rachdi,L.T, Rouz,A
Language:	English
Published:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2011
Subjects:	Spherical mean operator Besov space Banach space Fourier transform
Online Access:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200001
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id	oai:scielo:S0719-06462011000200001
record_format	dspace
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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Homogeneous Besov Spaces associated with the spherical mean operator

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