Sobolev-Type Spaces on the Dual of the Chébli-Trimèche Hypergroup and Applications
We define and study Sobolev-type spaces WAs,pℝ+ associated with singular second-order differential operator on 0,∞. Some properties are given; in particular we establish a compactness-type imbedding result which allows a Reillich-type theorem. Next, we introduce a generalized Weierstrass transform...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/248725 |
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| author | Mourad Jelassi Hatem Mejjaoli |
| author_facet | Mourad Jelassi Hatem Mejjaoli |
| author_sort | Mourad Jelassi |
| collection | DOAJ |
| description | We define and study Sobolev-type spaces WAs,pℝ+ associated with singular second-order differential operator on 0,∞. Some properties are given; in particular we establish a compactness-type imbedding result which allows a Reillich-type theorem. Next, we introduce a generalized Weierstrass transform and, using the theory of reproducing kernels, some applications are given. |
| format | Article |
| id | doaj-art-470ae03ae4a141cd9d621a3232b4f7a5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-470ae03ae4a141cd9d621a3232b4f7a52025-02-03T01:13:01ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/248725248725Sobolev-Type Spaces on the Dual of the Chébli-Trimèche Hypergroup and ApplicationsMourad Jelassi0Hatem Mejjaoli1Department of Mathematics, ISSAT Mateur, Carthage University, Bizerte, 7030 Mateur, TunisiaDepartment of Mathematics, College of Sciences, Taibah University, P.O. Box 30002, Al Madinah Al Munawarah, Saudi ArabiaWe define and study Sobolev-type spaces WAs,pℝ+ associated with singular second-order differential operator on 0,∞. Some properties are given; in particular we establish a compactness-type imbedding result which allows a Reillich-type theorem. Next, we introduce a generalized Weierstrass transform and, using the theory of reproducing kernels, some applications are given.http://dx.doi.org/10.1155/2014/248725 |
| spellingShingle | Mourad Jelassi Hatem Mejjaoli Sobolev-Type Spaces on the Dual of the Chébli-Trimèche Hypergroup and Applications Abstract and Applied Analysis |
| title | Sobolev-Type Spaces on the Dual of the Chébli-Trimèche Hypergroup and Applications |
| title_full | Sobolev-Type Spaces on the Dual of the Chébli-Trimèche Hypergroup and Applications |
| title_fullStr | Sobolev-Type Spaces on the Dual of the Chébli-Trimèche Hypergroup and Applications |
| title_full_unstemmed | Sobolev-Type Spaces on the Dual of the Chébli-Trimèche Hypergroup and Applications |
| title_short | Sobolev-Type Spaces on the Dual of the Chébli-Trimèche Hypergroup and Applications |
| title_sort | sobolev type spaces on the dual of the chebli trimeche hypergroup and applications |
| url | http://dx.doi.org/10.1155/2014/248725 |
| work_keys_str_mv | AT mouradjelassi sobolevtypespacesonthedualofthecheblitrimechehypergroupandapplications AT hatemmejjaoli sobolevtypespacesonthedualofthecheblitrimechehypergroupandapplications |