Littlewood-Paley-Stein gk-functions for Fourier-Bessel expansions
- Ciaurri, O. 1
- Roncal, L. 1
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1
Universidad de La Rioja
info
ISSN: 0022-1236
Year of publication: 2010
Volume: 258
Issue: 7
Pages: 2173-2204
Type: Article
More publications in: Journal of Functional Analysis
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.