Uniform two-weight norm inequalities for Hankel transform Bochner-Riesz means of order one
- Ciaurri, Ó. 1
- Stempak, K. 2
- Varona, J.L. 1
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1
Universidad de La Rioja
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2
Wrocław University of Technology
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ISSN: 0040-8735
Ano de publicación: 2004
Volume: 56
Número: 3
Páxinas: 371-392
Tipo: Artigo
Outras publicacións en: Tohoku Mathematical Journal
Resumo
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.