Comparison of Hardy-Littlewood and dyadic maximal functions on spaces of homogeneous type
We obtain a comparison of the level sets for two maximal functions on a space of homogeneous type: the Hardy-Littlewood maximal function of mean values over balls and the dyadic maximal function of mean values over the dyadic sets introduced by M. Christ in [M. Christ, A T (b) theorem with remarks o...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2005 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/84060 |
| Acceso en línea: | http://hdl.handle.net/11336/84060 |
| Access Level: | acceso abierto |
| Palabra clave: | CalderÓN-Zygmund Maximal Functions Spaces of Homogeneous Type https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We obtain a comparison of the level sets for two maximal functions on a space of homogeneous type: the Hardy-Littlewood maximal function of mean values over balls and the dyadic maximal function of mean values over the dyadic sets introduced by M. Christ in [M. Christ, A T (b) theorem with remarks on analytic capacity and the Cauchy integral, Colloq. Math. 60/61 (1990) 601-628]. As applications to the theory of Ap weights on this setting, we compare the standard and the dyadic Muckenhoupt classes and we give an alternative proof of reverse Hölder type inequalities. |
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