Weighted norm inequalities and indices
We extend and simplify several classical results on weighted norm inequalities for classical operators acting on rearrangement invariant spaces using the theory of indices. As an application we obtain necessary and sufficient conditions for generalized Hardy type operators to be bounded on ?p(w), ?p...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2006/207354 |
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| _version_ | 1832555423026118656 |
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| author | Joaquim Martín Mario Milman |
| author_facet | Joaquim Martín Mario Milman |
| author_sort | Joaquim Martín |
| collection | DOAJ |
| description | We extend and simplify several classical results on weighted norm inequalities for classical operators acting on rearrangement invariant spaces using the theory of indices. As an application we obtain necessary and sufficient conditions for generalized Hardy type operators to be bounded on ?p(w), ?p,8(w), Gp(w) and Gp,8(w). |
| format | Article |
| id | doaj-art-5f898d5156584732bd1bf8d42d768755 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-5f898d5156584732bd1bf8d42d7687552025-02-03T05:48:17ZengWileyJournal of Function Spaces and Applications0972-68022006-01-0141437110.1155/2006/207354Weighted norm inequalities and indicesJoaquim Martín0Mario Milman1Department de Matemàtiques, Universitat Autónoma de Barcelona, 08193 Bellaterra (Barcelona), SpainDepartament of Mathematics, Florida Atlantic University, Boca Raton, Fl. 33431, USAWe extend and simplify several classical results on weighted norm inequalities for classical operators acting on rearrangement invariant spaces using the theory of indices. As an application we obtain necessary and sufficient conditions for generalized Hardy type operators to be bounded on ?p(w), ?p,8(w), Gp(w) and Gp,8(w).http://dx.doi.org/10.1155/2006/207354 |
| spellingShingle | Joaquim Martín Mario Milman Weighted norm inequalities and indices Journal of Function Spaces and Applications |
| title | Weighted norm inequalities and indices |
| title_full | Weighted norm inequalities and indices |
| title_fullStr | Weighted norm inequalities and indices |
| title_full_unstemmed | Weighted norm inequalities and indices |
| title_short | Weighted norm inequalities and indices |
| title_sort | weighted norm inequalities and indices |
| url | http://dx.doi.org/10.1155/2006/207354 |
| work_keys_str_mv | AT joaquimmartin weightednorminequalitiesandindices AT mariomilman weightednorminequalitiesandindices |