The multiplier of the interval [-1, 1] for the Dunkl transform on the real line
We study the boundedness of the multiplier of the interval [- 1, 1] for the Dunkl transform of order α ≥ - 1 / 2 on weighted L<sup>p</sup> spaces, with 1 < p < ∞. In particular, we get that it is bounded from L<sup>p</sup> (R, | x |<sup>2 α + 1</sup>...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2007 |
| 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/5bbc69c9b750603269e8216e |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc69c9b750603269e8216e |
| Access Level: | acceso abierto |
| Palabra clave: | Bessel functions Dunkl operator Dunkl transform Hankel transform |
| Sumario: | We study the boundedness of the multiplier of the interval [- 1, 1] for the Dunkl transform of order α ≥ - 1 / 2 on weighted L<sup>p</sup> spaces, with 1 < p < ∞. In particular, we get that it is bounded from L<sup>p</sup> (R, | x |<sup>2 α + 1</sup> d x) into itself if and only if 4 (α + 1) / (2 α + 3) < p < 4 (α + 1) / (2 α + 1). © 2006 Elsevier Inc. All rights reserved. |
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