Boundedness of Multidimensional Dunkl-Hausdorff Operators
In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋκ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces Lκpℝn and in the Hardy space Hκ1ℝn associated with the Dunkl operators. We also determine the Dunkl-Hausdorf...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/1071746 |
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| author | Radouan Daher Faouaz Saadi |
| author_facet | Radouan Daher Faouaz Saadi |
| author_sort | Radouan Daher |
| collection | DOAJ |
| description | In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋκ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces Lκpℝn and in the Hardy space Hκ1ℝn associated with the Dunkl operators. We also determine the Dunkl-Hausdorff operator ℋκ∗ that is adjoint to ℋκ. |
| format | Article |
| id | doaj-art-429854b55f554061bf5a895e5abf3733 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-429854b55f554061bf5a895e5abf37332025-02-03T06:46:51ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/10717461071746Boundedness of Multidimensional Dunkl-Hausdorff OperatorsRadouan Daher0Faouaz Saadi1Department of Mathematics, Laboratory of Topology, Algebra, Geometry and Discrete Mathematics, Faculty of Sciences Aïn Chock University Hassan II, Casablanca, MoroccoDepartment of Mathematics, Laboratory of Topology, Algebra, Geometry and Discrete Mathematics, Faculty of Sciences Aïn Chock University Hassan II, Casablanca, MoroccoIn the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋκ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces Lκpℝn and in the Hardy space Hκ1ℝn associated with the Dunkl operators. We also determine the Dunkl-Hausdorff operator ℋκ∗ that is adjoint to ℋκ.http://dx.doi.org/10.1155/2020/1071746 |
| spellingShingle | Radouan Daher Faouaz Saadi Boundedness of Multidimensional Dunkl-Hausdorff Operators Journal of Function Spaces |
| title | Boundedness of Multidimensional Dunkl-Hausdorff Operators |
| title_full | Boundedness of Multidimensional Dunkl-Hausdorff Operators |
| title_fullStr | Boundedness of Multidimensional Dunkl-Hausdorff Operators |
| title_full_unstemmed | Boundedness of Multidimensional Dunkl-Hausdorff Operators |
| title_short | Boundedness of Multidimensional Dunkl-Hausdorff Operators |
| title_sort | boundedness of multidimensional dunkl hausdorff operators |
| url | http://dx.doi.org/10.1155/2020/1071746 |
| work_keys_str_mv | AT radouandaher boundednessofmultidimensionaldunklhausdorffoperators AT faouazsaadi boundednessofmultidimensionaldunklhausdorffoperators |