New Lorentz spaces for the restricted weak-type Hardy's inequalities
Associated to the class of restricted-weak type weights for the Hardy operator Rp, we find a new class of Lorentz spaces for which the normability property holds. This result is analogous to the characterization given by Sawyer for the classical Lorentz spaces. We also show that these new spaces are...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:271873 |
| Acceso en línea: | https://ddd.uab.cat/record/271873 https://dx.doi.org/urn:doi:10.1016/S0022-247X(02)00584-X |
| Access Level: | acceso abierto |
| Palabra clave: | Hardy operator Lorentz spaces Monotone functions Weighted inequalities |
| Sumario: | Associated to the class of restricted-weak type weights for the Hardy operator Rp, we find a new class of Lorentz spaces for which the normability property holds. This result is analogous to the characterization given by Sawyer for the classical Lorentz spaces. We also show that these new spaces are very natural to study the existence of equivalent norms described in terms of the maximal function. |
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