Weigthed Hardy's inequalities and Hardy transforms of weights
Many problems in analysis are described as weigthed norm inequalities thet have given rise to different classes of weights, such asAp- weights of Mukenhoupt, Bp-weights of Ario and Mukenhoupt, ect. Our purpose is to show that different classes of weigths are relaterd by mean of composition with clas...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2000 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:272286 |
| Acceso en línea: | https://ddd.uab.cat/record/272286 https://dx.doi.org/urn:doi:10.4064/sm-139-2-189-196 |
| Access Level: | acceso abierto |
| Palabra clave: | Hardy's inequalities Hardy transform Weights |
| Sumario: | Many problems in analysis are described as weigthed norm inequalities thet have given rise to different classes of weights, such asAp- weights of Mukenhoupt, Bp-weights of Ario and Mukenhoupt, ect. Our purpose is to show that different classes of weigths are relaterd by mean of composition with classical transforms. Typical exemples are Ap-weights as indefinite integrals of Bp-1-weights, and Mp-weights (for which Hardy transform is bounded) as Hardy transforms of Bp- weights. We pay special atention to monotonic weights. |
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