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

Zeitschrift:
Tohoku Mathematical Journal

ISSN: 0040-8735

Datum der Publikation: 2004

Ausgabe: 56

Nummer: 3

Seiten: 371-392

Art: Artikel

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

Andere Publikationen in: Tohoku Mathematical Journal

Institutionelles Repository: lock_openOpen Access Editor lock_openOpen Access Postprint

Zusammenfassung

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.