Littlewood-Paley-Stein gk-functions for 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 Functional Analysis

ISSN: 0022-1236

Year of publication: 2010

Volume: 258

Issue: 7

Pages: 2173-2204

Type: Article

DOI: 10.1016/J.JFA.2009.12.014 SCOPUS: 2-s2.0-74449087245 WoS: WOS:000274216300002 GOOGLE SCHOLAR

More publications in: Journal of Functional Analysis

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Abstract

gk-Functions related to the Poisson semigroup of Fourier-Bessel expansions are defined for each k ≥ 1. It is proved that these gk-functions are Calderón-Zygmund operators in the sense of the associated space of homogeneous type, hence their mapping properties follow from the general theory. © 2010 Elsevier Inc. All rights reserved.