Approximation numbers of Sobolev embeddings of radial functions on isotropic manifolds
We regard the compact Sobolev embeddings between Besov and Sobolev spaces of radial functions on noncompact symmetric spaces of rank one. The asymptotic formula for the behaviour of approximation numbers of these embeddings is described.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2007/549247 |
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| _version_ | 1832551522096906240 |
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| author | Leszek Skrzypczak Bernadeta Tomasz |
| author_facet | Leszek Skrzypczak Bernadeta Tomasz |
| author_sort | Leszek Skrzypczak |
| collection | DOAJ |
| description | We regard the compact Sobolev embeddings between Besov and Sobolev spaces of radial functions on noncompact symmetric spaces of rank one. The asymptotic formula for the behaviour of approximation numbers of these embeddings is described. |
| format | Article |
| id | doaj-art-3321a39c69f9406cac4b64b843bc3166 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-3321a39c69f9406cac4b64b843bc31662025-02-03T06:01:14ZengWileyJournal of Function Spaces and Applications0972-68022007-01-0151274810.1155/2007/549247Approximation numbers of Sobolev embeddings of radial functions on isotropic manifoldsLeszek Skrzypczak0Bernadeta Tomasz1Faculty of Mathematics and Computer Science, A. Mickiewicz University, Umultowska 87, 61-614 Poznań, PolandFaculty of Mathematics and Computer Science, A. Mickiewicz University, Umultowska 87, 61-614 Poznań, PolandWe regard the compact Sobolev embeddings between Besov and Sobolev spaces of radial functions on noncompact symmetric spaces of rank one. The asymptotic formula for the behaviour of approximation numbers of these embeddings is described.http://dx.doi.org/10.1155/2007/549247 |
| spellingShingle | Leszek Skrzypczak Bernadeta Tomasz Approximation numbers of Sobolev embeddings of radial functions on isotropic manifolds Journal of Function Spaces and Applications |
| title | Approximation numbers of Sobolev embeddings of radial functions on isotropic manifolds |
| title_full | Approximation numbers of Sobolev embeddings of radial functions on isotropic manifolds |
| title_fullStr | Approximation numbers of Sobolev embeddings of radial functions on isotropic manifolds |
| title_full_unstemmed | Approximation numbers of Sobolev embeddings of radial functions on isotropic manifolds |
| title_short | Approximation numbers of Sobolev embeddings of radial functions on isotropic manifolds |
| title_sort | approximation numbers of sobolev embeddings of radial functions on isotropic manifolds |
| url | http://dx.doi.org/10.1155/2007/549247 |
| work_keys_str_mv | AT leszekskrzypczak approximationnumbersofsobolevembeddingsofradialfunctionsonisotropicmanifolds AT bernadetatomasz approximationnumbersofsobolevembeddingsofradialfunctionsonisotropicmanifolds |