Structure d'algèbre de Banach sur l'espace à poids L_ω^p(G)
Let <em>G</em> be a locally compact group and <em>ω</em> be a weight on<em> G</em>. For <em>p ∈ ]1, +∞ [</em>, we give a necessary and sufficient condition, on <em>ω</em>, for <em>L_ω^p (G)</em> to be a Banach algebra. The case...
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2009-05-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/253 |
| _version_ | 1818318146436595712 |
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| author | Abdellah El Kinani A. Roukbi A. Benazzouz |
| author_facet | Abdellah El Kinani A. Roukbi A. Benazzouz |
| author_sort | Abdellah El Kinani |
| collection | DOAJ |
| description | Let <em>G</em> be a locally compact group and <em>ω</em> be a weight on<em> G</em>. For <em>p ∈ ]1, +∞ [</em>, we give a necessary and sufficient condition, on <em>ω</em>, for <em>L_ω^p (G)</em> to be a Banach algebra. The case where ω is biinvariant under a subgroup <em>K</em> of <em>G</em> is also considered.<br /> |
| first_indexed | 2024-12-13T09:48:35Z |
| format | Article |
| id | doaj.art-79aee16190754d579026e390e456e366 |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-13T09:48:35Z |
| publishDate | 2009-05-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-79aee16190754d579026e390e456e3662022-12-21T23:51:59ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982009-05-01641179193229Structure d'algèbre de Banach sur l'espace à poids L_ω^p(G)Abdellah El KinaniA. RoukbiA. BenazzouzLet <em>G</em> be a locally compact group and <em>ω</em> be a weight on<em> G</em>. For <em>p ∈ ]1, +∞ [</em>, we give a necessary and sufficient condition, on <em>ω</em>, for <em>L_ω^p (G)</em> to be a Banach algebra. The case where ω is biinvariant under a subgroup <em>K</em> of <em>G</em> is also considered.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/253L’espace a poidsProduit de convolutionTransformation de FourierFonction K- sphérique. e |
| spellingShingle | Abdellah El Kinani A. Roukbi A. Benazzouz Structure d'algèbre de Banach sur l'espace à poids L_ω^p(G) Le Matematiche L’espace a poids Produit de convolution Transformation de Fourier Fonction K- sphérique. e |
| title | Structure d'algèbre de Banach sur l'espace à poids L_ω^p(G) |
| title_full | Structure d'algèbre de Banach sur l'espace à poids L_ω^p(G) |
| title_fullStr | Structure d'algèbre de Banach sur l'espace à poids L_ω^p(G) |
| title_full_unstemmed | Structure d'algèbre de Banach sur l'espace à poids L_ω^p(G) |
| title_short | Structure d'algèbre de Banach sur l'espace à poids L_ω^p(G) |
| title_sort | structure d algebre de banach sur l espace a poids l ω p g |
| topic | L’espace a poids Produit de convolution Transformation de Fourier Fonction K- sphérique. e |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/253 |
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