Dunkl-Sobolev spaces of exponential type and applications
We study the Sobolev spaces of exponential type associated with the Dunkl operators. Some properties including completeness and imbedding theorem are proved. Next we introduce a classes of symbols of exponential type and the associated pseudo-differential-difference operators, which naturally act on...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2011/728563 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849404895035129856 |
|---|---|
| author | Hatem Mejjaoli |
| author_facet | Hatem Mejjaoli |
| author_sort | Hatem Mejjaoli |
| collection | DOAJ |
| description | We study the Sobolev spaces of exponential type associated with the Dunkl operators. Some properties including completeness and imbedding theorem are proved. Next we introduce a classes of symbols of exponential type and the associated pseudo-differential-difference operators, which naturally act on the Dunkl-Sobolev spaces of exponential type. Finally using the theory of reproducing kernels some applications are given for these spaces. |
| format | Article |
| id | doaj-art-4952b64c5d714d2ca4e9f96cfa37f366 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-4952b64c5d714d2ca4e9f96cfa37f3662025-08-20T03:36:48ZengWileyJournal of Function Spaces and Applications0972-68022011-01-0191416610.1155/2011/728563Dunkl-Sobolev spaces of exponential type and applicationsHatem Mejjaoli0Department of Mathematics, Faculty of sciences of Tunis, Campus 1060.Tunis, TunisiaWe study the Sobolev spaces of exponential type associated with the Dunkl operators. Some properties including completeness and imbedding theorem are proved. Next we introduce a classes of symbols of exponential type and the associated pseudo-differential-difference operators, which naturally act on the Dunkl-Sobolev spaces of exponential type. Finally using the theory of reproducing kernels some applications are given for these spaces.http://dx.doi.org/10.1155/2011/728563 |
| spellingShingle | Hatem Mejjaoli Dunkl-Sobolev spaces of exponential type and applications Journal of Function Spaces and Applications |
| title | Dunkl-Sobolev spaces of exponential type and applications |
| title_full | Dunkl-Sobolev spaces of exponential type and applications |
| title_fullStr | Dunkl-Sobolev spaces of exponential type and applications |
| title_full_unstemmed | Dunkl-Sobolev spaces of exponential type and applications |
| title_short | Dunkl-Sobolev spaces of exponential type and applications |
| title_sort | dunkl sobolev spaces of exponential type and applications |
| url | http://dx.doi.org/10.1155/2011/728563 |
| work_keys_str_mv | AT hatemmejjaoli dunklsobolevspacesofexponentialtypeandapplications |