Equivalent expressions for norms in classical Lorentz spaces
We characterize the weights w such that ∫0∞ f*(s)pw(s) ds ≃ ∫0∞ (f**(s) - f*(s))pw(s) ds. Our result generalizes a result due to Bennett-De Vore-Sharpley, where the usual Lorentz Lp,q norm is replaced by an equivalent expression involving the functional f** - f*. Sufficient conditions for the bounde...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2005 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:271868 |
| Acceso en línea: | https://ddd.uab.cat/record/271868 https://dx.doi.org/urn:doi:10.1515/form.2005.17.3.361 |
| Access Level: | acceso abierto |
| Palabra clave: | Lorentz spaces Hardy's operators Weigh |
| Sumario: | We characterize the weights w such that ∫0∞ f*(s)pw(s) ds ≃ ∫0∞ (f**(s) - f*(s))pw(s) ds. Our result generalizes a result due to Bennett-De Vore-Sharpley, where the usual Lorentz Lp,q norm is replaced by an equivalent expression involving the functional f** - f*. Sufficient conditions for the boundedness of maximal Calderón-Zygmund singular integral operators between classical Lorentz spaces are also given. |
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