Weyl transforms associated with the Riemann-Liouville operator
For the Riemann-Liouville transform ℛα, α∈ℝ+, associated with singular partial differential operators, we define and study the Weyl transforms Wσ connected with ℛα, where σ is a symbol in Sm, m∈ℝ. We give criteria in terms of σ for boundedness and compactness of the transform Wσ....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/94768 |
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| _version_ | 1832551506957565952 |
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| author | N. B. Hamadi L. T. Rachdi |
| author_facet | N. B. Hamadi L. T. Rachdi |
| author_sort | N. B. Hamadi |
| collection | DOAJ |
| description | For the Riemann-Liouville transform ℛα, α∈ℝ+, associated with singular partial differential operators, we define and study the Weyl transforms Wσ connected with ℛα, where σ is a symbol in Sm,
m∈ℝ. We give criteria in terms of σ for boundedness and compactness of the transform Wσ. |
| format | Article |
| id | doaj-art-023c9cc8c21a419b9093abf8be0fad68 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-023c9cc8c21a419b9093abf8be0fad682025-02-03T06:01:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/9476894768Weyl transforms associated with the Riemann-Liouville operatorN. B. Hamadi0L. T. Rachdi1Department of Mathematics, Faculty of Sciences of Tunis, University Tunis, El Manar 2092, Tunis, TunisiaDepartment of Mathematics, Faculty of Sciences of Tunis, University Tunis, El Manar 2092, Tunis, TunisiaFor the Riemann-Liouville transform ℛα, α∈ℝ+, associated with singular partial differential operators, we define and study the Weyl transforms Wσ connected with ℛα, where σ is a symbol in Sm, m∈ℝ. We give criteria in terms of σ for boundedness and compactness of the transform Wσ.http://dx.doi.org/10.1155/IJMMS/2006/94768 |
| spellingShingle | N. B. Hamadi L. T. Rachdi Weyl transforms associated with the Riemann-Liouville operator International Journal of Mathematics and Mathematical Sciences |
| title | Weyl transforms associated with the Riemann-Liouville operator |
| title_full | Weyl transforms associated with the Riemann-Liouville operator |
| title_fullStr | Weyl transforms associated with the Riemann-Liouville operator |
| title_full_unstemmed | Weyl transforms associated with the Riemann-Liouville operator |
| title_short | Weyl transforms associated with the Riemann-Liouville operator |
| title_sort | weyl transforms associated with the riemann liouville operator |
| url | http://dx.doi.org/10.1155/IJMMS/2006/94768 |
| work_keys_str_mv | AT nbhamadi weyltransformsassociatedwiththeriemannliouvilleoperator AT ltrachdi weyltransformsassociatedwiththeriemannliouvilleoperator |