On the Search for weighted inequalities for Operators related to the Ornstein-Uhlenbeck Semigroup
In this paper,for each given p, 1 < p < ∞, we characterize the weights v for which the centered maximal function with respect to the gaussian measure and the Ornstein-Uhlenbeck maximal operator are well defined for every function in Lp(vdγ ) and their means converge almost everywhere. In doing...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2000 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/98756 |
| Acceso en línea: | http://hdl.handle.net/11336/98756 |
| Access Level: | acceso abierto |
| Palabra clave: | Ornstein-Uhlenbeck Vector Valued Inequalities Weighted Inequalities https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | In this paper,for each given p, 1 < p < ∞, we characterize the weights v for which the centered maximal function with respect to the gaussian measure and the Ornstein-Uhlenbeck maximal operator are well defined for every function in Lp(vdγ ) and their means converge almost everywhere. In doing so,we find that this condition is also necessary and sufficient for the existence of a weight u such that the operators are bounded from Lp(vdγ ) into Lp(udγ ). We approach the poblem by proving some vector valued inequalities. As a byproduct we obtain the strong type (1, 1) for the “global" part of the centered maximal function. |
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