Proceedings of the American Mathematical Society

Author(s): J. J. Betancor; B. J. González
Journal: Proc. Amer. Math. Soc. 129 (2001), 219-228.
MSC (2000): Primary 46F12
Posted: August 17, 2000
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Abstract: In this paper we introduce new function spaces that are denoted by ${\mathcal H}_{\mu ,p}$ , $\mu >-1/2$ and $1\leq p\leq \infty ,$ and that are spaces of ${\mathcal D}_{L^{p}}-$ type where the Hankel convolution and the Hankel transformation are defined. The spaces ${\mathcal H}_{\mu ,p}$ will play the same role in the Hankel setting that the spaces ${\mathcal D}_{L^{p}}$ play in the theory of Fourier transformation.

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J. J. Betancor
Affiliation: Departamento de Análisis Matemático, Universidad de La Laguna, 38271 La Laguna, Islas Canarias, Spain
Email: jbetanco@ull.es

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