Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions
In this paper we introduce the atomic Hardy space H1 ((0, ∞), γα) associated with the non-doubling probability measure dγα(x) = 2x 2α+1 Γ(α+1) e −x 2 dx on (0, ∞), for α > − 1 2 . We obtain characterizations of H1 ((0, ∞), γα) by using two local maximal functions. We also prove that the truncated...
| 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:11336/215814 |
| Acceso en línea: | http://hdl.handle.net/11336/215814 |
| Access Level: | acceso abierto |
| Palabra clave: | Hardy spaces Atoms Maximal functions Laguerre polynomials https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | In this paper we introduce the atomic Hardy space H1 ((0, ∞), γα) associated with the non-doubling probability measure dγα(x) = 2x 2α+1 Γ(α+1) e −x 2 dx on (0, ∞), for α > − 1 2 . We obtain characterizations of H1 ((0, ∞), γα) by using two local maximal functions. We also prove that the truncated maximal function defined through the heat semigroup generated by the Laguerre differential operator is bounded from H1 ((0, ∞), γα) into L1 ((0, ∞), γα). |
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