Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups
In this paper we establish Lp(Rd, γ∞)-boundedness properties for square functions involving time and spatial derivatives of Ornstein-Uhlenbeck semigroups. Here γ∞ denotes the invariant measure. In order to prove the strong type results for 1 < p < ∞ we use R-boundedness. The weak type (1,1) pr...
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/215812 |
| Acceso en línea: | http://hdl.handle.net/11336/215812 |
| Access Level: | acceso abierto |
| Palabra clave: | Littlewood paley functions Variation operator Nonsymmetric Ornstein-Uhlenbeck. https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | In this paper we establish Lp(Rd, γ∞)-boundedness properties for square functions involving time and spatial derivatives of Ornstein-Uhlenbeck semigroups. Here γ∞ denotes the invariant measure. In order to prove the strong type results for 1 < p < ∞ we use R-boundedness. The weak type (1,1) property is established by studying separately global and local operators defined for the square Littlewood-Paley functions. By the way we prove Lp(Rd, γ∞)-boundedness properties for maximal and variation operators for Ornstein-Uhlenbeck semigroups. |
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