Harmonic analysis operators associated with Laguerre polynomial expansions on variable Lebesgue spaces
In this paper we give sufficient conditions on a measurable function p : (0, ∞) n → [1,∞) in order that harmonic analysis operators (maximal operators, Riesz transforms, Littlewood–Paley functions and multipliers) associated with α-Laguerre polynomial expansions are bounded on the variable Lebesgue...
| Autores: | , , , |
|---|---|
| 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:11336/215811 |
| Acceso en línea: | http://hdl.handle.net/11336/215811 |
| Access Level: | acceso abierto |
| Palabra clave: | Maximal operators Variable exponent Lp-spaces Laguerre polynomials Diffusion semigroups Littlewood-Paley functions https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | In this paper we give sufficient conditions on a measurable function p : (0, ∞) n → [1,∞) in order that harmonic analysis operators (maximal operators, Riesz transforms, Littlewood–Paley functions and multipliers) associated with α-Laguerre polynomial expansions are bounded on the variable Lebesgue space Lp(·) ((0, ∞) n, µα), where dµα(x) = 2n Qn j=1 x 2αj+1 j e −x 2 j Γ(αj+1) dx, being α = (α1, . . . , αn) ∈ [0,∞) n and x = (x1, . . . , xn) ∈ (0, ∞) n. |
|---|