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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| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2007 |
| País: | España |
| Recursos: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc69c9b750603269e8216e |
| Acesso em linha: | https://investigacion.unirioja.es/documentos/5bbc69c9b750603269e8216e |
| Access Level: | acceso abierto |
| Palavra-chave: | Bessel functions Dunkl operator Dunkl transform Hankel transform |
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The multiplier of the interval [-1, 1] for the Dunkl transform on the real lineBetancor, J.J.Ciaurri, O. [0000-0002-1695-3311]Varona, J.L. [0000-0002-2023-9946]Bessel functionsDunkl operatorDunkl transformHankel transformWe 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.2007info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc69c9b750603269e8216ereponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1016/J.JFA.2006.04.002info:eu-repo/semantics/altIdentifier/wos/WOS:000242333700014info:eu-repo/semantics/altIdentifier/pissn/0022-1236The multiplier of the interval [-1, 1] for the Dunkl transform on the real line, 2007, vol. 242, núm. 1, pág. 327-336info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc69c9b750603269e8216e2026-06-14T12:47:17Z |
| dc.title.none.fl_str_mv |
The multiplier of the interval [-1, 1] for the Dunkl transform on the real line |
| title |
The multiplier of the interval [-1, 1] for the Dunkl transform on the real line |
| spellingShingle |
The multiplier of the interval [-1, 1] for the Dunkl transform on the real line Betancor, J.J. Bessel functions Dunkl operator Dunkl transform Hankel transform |
| title_short |
The multiplier of the interval [-1, 1] for the Dunkl transform on the real line |
| title_full |
The multiplier of the interval [-1, 1] for the Dunkl transform on the real line |
| title_fullStr |
The multiplier of the interval [-1, 1] for the Dunkl transform on the real line |
| title_full_unstemmed |
The multiplier of the interval [-1, 1] for the Dunkl transform on the real line |
| title_sort |
The multiplier of the interval [-1, 1] for the Dunkl transform on the real line |
| dc.creator.none.fl_str_mv |
Betancor, J.J. Ciaurri, O. [0000-0002-1695-3311] Varona, J.L. [0000-0002-2023-9946] |
| author |
Betancor, J.J. |
| author_facet |
Betancor, J.J. Ciaurri, O. [0000-0002-1695-3311] Varona, J.L. [0000-0002-2023-9946] |
| author_role |
author |
| author2 |
Ciaurri, O. [0000-0002-1695-3311] Varona, J.L. [0000-0002-2023-9946] |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Bessel functions Dunkl operator Dunkl transform Hankel transform |
| topic |
Bessel functions Dunkl operator Dunkl transform Hankel transform |
| description |
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. |
| publishDate |
2007 |
| dc.date.none.fl_str_mv |
2007 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article Subtype: Article info:eu-repo/semantics/acceptedVersion |
| format |
article |
| status_str |
acceptedVersion |
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https://investigacion.unirioja.es/documentos/5bbc69c9b750603269e8216e |
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https://investigacion.unirioja.es/documentos/5bbc69c9b750603269e8216e |
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Inglés |
| language_invalid_str_mv |
Inglés |
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info:eu-repo/semantics/altIdentifier/doi/10.1016/J.JFA.2006.04.002 info:eu-repo/semantics/altIdentifier/wos/WOS:000242333700014 info:eu-repo/semantics/altIdentifier/pissn/0022-1236 The multiplier of the interval [-1, 1] for the Dunkl transform on the real line, 2007, vol. 242, núm. 1, pág. 327-336 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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reponame:RIUR. Repositorio Institucional de la Universidad de La Rioja instname:Universidad de La Rioja (UR) |
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Universidad de La Rioja (UR) |
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RIUR. Repositorio Institucional de la Universidad de La Rioja |
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RIUR. Repositorio Institucional de la Universidad de La Rioja |
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