Hardy-Littlewood-Sobolev-type inequality for the fractional Littlewood-Paley \(g\)-function in Jacobi analysis

DOI10.1007/s40840-021-01181-0zbMath1476.42014OpenAlexW3197252324MaRDI QIDQ2239052

Néjib Ben Salem

Publication date: 2 November 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-021-01181-0

zbMATH Keywords

Jacobi functionheat semigroupLittlewood-Paley functionPoisson semigroupHardy-Littlewood-Sobolev inequalityJacobi transform

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Other transforms and operators of Fourier type (43A32) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• Dynamics of the heat semigroup in Jacobi analysis
• Hilbert transform and related topics associated with the differential Jacobi operator on \((0, +\infty)\)
• Pseudo-differential operators associated with the Jacobi differential operator
• Heat kernel and Hardy's theorem for Jacobi transform
• H 1-estimates of Littlewood-Paley and Lusin functions for Jacobi analysis
• Fourier Multipliers for L ^p on Chébli-Trimèche Hypergroups
• Sobolev type spaces associated with jacobi differential operators
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)

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