Hilbert transform and related topics associated with the differential Jacobi operator on \((0, +\infty)\)

DOI10.1007/S11117-010-0061-0zbMath1227.44002OpenAlexW1992921972MaRDI QIDQ548200

Taha Samaali, Néjib Ben Salem

Publication date: 28 June 2011

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-010-0061-0

zbMATH Keywords

Hilbert transformJacobi operatorLittlewood functionconjugate Poisson integral

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Other transforms and operators of Fourier type (43A32) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (5)

Spectral properties of differential-difference symmetrized operators ⋮ Hardy-Littlewood-Sobolev-type inequality for the fractional Littlewood-Paley \(g\)-function in Jacobi analysis ⋮ Spectral properties of ordinary differential operators admitting special decompositions ⋮ Singular integral operators of convolution type on Jacobi hypergroup ⋮ On the generalized Hilbert transform and weighted Hardy spaces in \(q\)-Dunkl harmonic analysis

Cites Work

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• Convolution structure associated with the Jacobi-Dunkl operator on \(\mathbb R\)
• La \(g\)-fonction de Littlewood-Paley associée à un opérateur différentiel singulier sur \((0,\infty)\). (The Littlewood-Paley's \(g\)-function associated with à singular différential opérator on \((0,\infty)\))
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces
• The convolution structure for Jacobi function expansions
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)

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