Endpoint estimates for harmonic analysis operators associated with Laguerre polynomial expansions
In this paper we give a criterion to prove boundedness results for several operators from H1 ((0, ∞), γα) to L 1 ((0, ∞), γα) and also from L∞((0, ∞), γα) to BMO((0, ∞), γα), with respect to the probability measure dγα(x) = 2 Γ(α+1) x 2α+1e −x 2 dx on (0, ∞) when α > − 1 2 . We shall apply it to...
| 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:11336/215813 |
| Acceso en línea: | http://hdl.handle.net/11336/215813 |
| Access Level: | acceso abierto |
| Palabra clave: | HARDY SPACES BMO SPACES ENDPOINT ESTIMATES LAGUERRE POLYNOMIALS https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | In this paper we give a criterion to prove boundedness results for several operators from H1 ((0, ∞), γα) to L 1 ((0, ∞), γα) and also from L∞((0, ∞), γα) to BMO((0, ∞), γα), with respect to the probability measure dγα(x) = 2 Γ(α+1) x 2α+1e −x 2 dx on (0, ∞) when α > − 1 2 . We shall apply it to establish endpoint estimates for Riesz transforms, maximal operators, Littlewood-Paley functions, multipliers of Laplace transform type, fractional integrals and variation operators in the Laguerre setting. |
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