Weighted inequalities for the Bochner-Riesz means related to the Fourier-Bessel expansions
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Universidad de La Rioja
info
ISSN: 0022-247X
Datum der Publikation: 2007
Ausgabe: 329
Nummer: 2
Seiten: 1170-1180
Art: Artikel
Andere Publikationen in: Journal of Mathematical Analysis and Applications
Projekte im Zusammenhang
Zusammenfassung
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.