Higher order Riesz transforms for Fourier-Bessel expansions

DOI10.1007/s00041-012-9219-4zbMath1268.42048OpenAlexW1990627764MaRDI QIDQ692614

Luz Roncal, Óscar Ciaurri

Publication date: 6 December 2012

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

Full work available at URL: https://doi.org/10.1007/s00041-012-9219-4

zbMATH Keywords

weighted inequalitiesFourier-Bessel expansionsRiesz transforms

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items

Hardy spaces for Fourier-Bessel expansions ⋮ On sharp heat and subordinated kernel estimates in the Fourier-Bessel setting ⋮ A product formula and a convolution structure for a \(k\)-Hankel transform on \(\mathbb{R}\) ⋮ The wave equation for the Bessel Laplacian ⋮ On derivatives, Riesz transforms and Sobolev spaces for Fourier-Bessel expansions

Cites Work

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• Transplantation and multiplier theorems for Fourier-Bessel expansions
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
• The Mean Convergence of Fourier-Bessel Series
• Neumann Series of Bessel Functions

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