Reverse Hölder property for strong weights and general measures
We present dimension-free reverse H¨older inequalities for strong A∗p weights, 1 ≤ p < ∞. We also provide a proof for the full range of local integrability of A∗1 weights. The common ingredient is a multidimensional version of Riesz’s “rising sun” lemma. Our results are valid for any nonnegative...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/47240 |
| Acceso en línea: | http://hdl.handle.net/11441/47240 https://doi.org/10.1007/s12220-016-9678-y |
| Access Level: | acceso abierto |
| Palabra clave: | Reverse Hölder inequality Muckenhoupt weights Maximal functions Multiparameter harmonic analysis |
| Sumario: | We present dimension-free reverse H¨older inequalities for strong A∗p weights, 1 ≤ p < ∞. We also provide a proof for the full range of local integrability of A∗1 weights. The common ingredient is a multidimensional version of Riesz’s “rising sun” lemma. Our results are valid for any nonnegative Radon measure with no atoms. For p = ∞, we also provide a reverse H¨older inequality for certain product measures. As a corollary we derive mixed A∗p − A∗∞ weighted estimates. |
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