Uniform two-weight norm inequalities for Hankel transform Bochner-Riesz means of order one
Two-weight L<sup>p</sup> norm inequalities, uniform with respect to the order of the involved Bessel function, are proved for the Bochner-Riesz means of the first order for the Hankel transform. Both sufficient and necessary conditions for parameters used in the two weights are determine...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc69c5b750603269e8212c |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc69c5b750603269e8212c |
| Access Level: | acceso abierto |
| Palabra clave: | Bessel functions Bochner-Riesz means Hankel transform Two-weight norm inequalities |
| Sumario: | Two-weight L<sup>p</sup> norm inequalities, uniform with respect to the order of the involved Bessel function, are proved for the Bochner-Riesz means of the first order for the Hankel transform. Both sufficient and necessary conditions for parameters used in the two weights are determined. The proof relies on uniform pointwise asymptotic estimates for the Bessel functions that were shown by Barceló and Córdoba. |
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