Uniform two-weight norm inequalities for Hankel transform Bochner-Riesz means of order one

  1. Ciaurri, Ó. 1
  2. Stempak, K. 2
  3. Varona, J.L. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Wrocław University of Technology
    info

    Wrocław University of Technology

    Breslavia, Polonia

    ROR https://ror.org/008fyn775

Revue:
Tohoku Mathematical Journal

ISSN: 0040-8735

Année de publication: 2004

Volumen: 56

Número: 3

Pages: 371-392

Type: Article

DOI: 10.2748/TMJ/1113246674 SCOPUS: 2-s2.0-6044276033 WoS: WOS:000225235600007 GOOGLE SCHOLAR lock_openAccès ouvert editor

D'autres publications dans: Tohoku Mathematical Journal

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Résumé

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.