The Hilbert Transform with Exponential Weights

DOI10.2307/2159667zbMath0752.43005OpenAlexW4239106384MaRDI QIDQ3987568

Marco Vignati, Leonardo Colzani

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159667

zbMATH Keywords

Hilbert transformhyperbolic spacesLorentz spacesradial functions

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Convergence of Fourier series and of inverse transforms (43A50)

Related Items

Almost everywhere convergence of inverse spherical transforms on noncompact symmetric spaces ⋮ Pointwise Fourier inversion: A wave equation approach ⋮ Singular integrals with exponential weights

Cites Work

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• The multiplier for the ball and radial functions
• Hankel transform on Lorentz spaces
• Equiconvergence Theorems for Fourier-Bessel Expansions with Applications to the Harmonic Analysis of Radial Functions in Euclidean and Noneuclidean Spaces