Lorentz-Shimogaki and Boyd theorems for weighted Lorentz spaces
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866911773463937024 |
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| author | Agora, Elona Antezana, Jorge Carro, María J. Soria, Javier |
| author_facet | Agora, Elona Antezana, Jorge Carro, María J. Soria, Javier |
| contents | We prove the Lorentz-Shimogaki and Boyd theorems for the spaces $Λ^p_u(w)$. As a consequence, we give the complete characterization of the strong boundedness of $H$ on these spaces in terms of some geometric conditions on the weights $u$ and $w$, whenever $p>1$. For these values of $p$, we also give the complete solution of the weak-type boundedness of the Hardy-Littlewood operator on $Λ^p_u(w)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_05304 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lorentz-Shimogaki and Boyd theorems for weighted Lorentz spaces Agora, Elona Antezana, Jorge Carro, María J. Soria, Javier Classical Analysis and ODEs 26D10, 42A50 We prove the Lorentz-Shimogaki and Boyd theorems for the spaces $Λ^p_u(w)$. As a consequence, we give the complete characterization of the strong boundedness of $H$ on these spaces in terms of some geometric conditions on the weights $u$ and $w$, whenever $p>1$. For these values of $p$, we also give the complete solution of the weak-type boundedness of the Hardy-Littlewood operator on $Λ^p_u(w)$. |
| title | Lorentz-Shimogaki and Boyd theorems for weighted Lorentz spaces |
| topic | Classical Analysis and ODEs 26D10, 42A50 |
| url | https://arxiv.org/abs/2402.05304 |