The multiplier of the interval [-1, 1] for the Dunkl transform on the real line
- Betancor, J.J. 1
- Ciaurri, O. 2
- Varona, J.L. 2
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1
Universidad de La Laguna
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2
Universidad de La Rioja
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ISSN: 0022-1236
Argitalpen urtea: 2007
Alea: 242
Zenbakia: 1
Orrialdeak: 327-336
Mota: Artikulua
Beste argitalpen batzuk: Journal of Functional Analysis
Lotura duten proiektuak
Laburpena
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.