Weighted inequalities for the Bochner-Riesz means related to the Fourier-Bessel expansions

  1. Ciaurri, O. 1
  2. Roncal, L. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Journal of Mathematical Analysis and Applications

ISSN: 0022-247X

Year of publication: 2007

Volume: 329

Issue: 2

Pages: 1170-1180

Type: Article

DOI: 10.1016/J.JMAA.2006.07.014 SCOPUS: 2-s2.0-33846579277 WoS: WOS:000244664700033 GOOGLE SCHOLAR

More publications in: Journal of Mathematical Analysis and Applications

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Abstract

We prove weighted inequalities for the Bochner-Riesz means for Fourier-Bessel series with more general weights w (x) than previously considered power weights. These estimates are given by using the local Ap theory and Hardy's inequalities with weights. Moreover, we also obtain weighted weak type (1, 1) inequalities. The case when w (x) = xa is sketched and follows as a corollary of the main result. © 2006 Elsevier Inc. All rights reserved.