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

DOI10.1016/J.JMAA.2006.07.014zbMath1154.42303OpenAlexW2036459250MaRDI QIDQ1001270

Luz Roncal, Óscar Ciaurri

Publication date: 17 February 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.014

zbMATH Keywords

Fourier-Bessel seriesBochner-Riesz meanstwo-weight inequalitiesweak type inequalities

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (2)

\(L^p\)-boundedness of Stein's square functions associated with Fourier-Bessel expansions ⋮ On derivatives, Riesz transforms and Sobolev spaces for Fourier-Bessel expansions

Cites Work

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• Weighted estimates for the Hankel transform transplantation operator
• Weighted transplantation for Fourier-Bessel series
• The Bochner-Riesz means for Fourier-Bessel expansions: norm inequalities for the maximal operator and almost everywhere convergence
• The Bochner-Riesz means for Fourier-Bessel expansions
• Transplantation theorems and multiplier theorems for Jacobi series
• Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions
• The Mean Convergence of Fourier-Bessel Series
• Hardy's inequality with weights

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