Potential operators associated with Jacobi and Fourier-Bessel expansions

DOI10.1016/j.jmaa.2014.08.023zbMath1297.31012arXiv1212.6342OpenAlexW2004623276MaRDI QIDQ458307

Adam Nowak, Luz Roncal

Publication date: 7 October 2014

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

Full work available at URL: https://arxiv.org/abs/1212.6342

zbMATH Keywords

Poisson kernelpotential operatorfractional integralJacobi expansionFourier-Bessel expansion

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Potential operators (47G40)

Related Items (10)

Potential operators associated with Hankel and Hankel-Dunkl transforms ⋮ Hardy spaces for Fourier-Bessel expansions ⋮ Riesz-Jacobi transforms as principal value integrals ⋮ The \(L^p\)-\(L^q\) boundedness and compactness of Bergman type operators ⋮ Harmonic analysis operators related to symmetrized Jacobi expansions for all admissible parameters ⋮ On sharp heat and subordinated kernel estimates in the Fourier-Bessel setting ⋮ On potential spaces related to Jacobi expansions ⋮ Sharp estimates for potential operators associated with Laguerre and Dunkl-Laguerre expansions ⋮ On derivatives, Riesz transforms and Sobolev spaces for Fourier-Bessel expansions ⋮ Analysis related to all admissible type parameters in the Jacobi setting

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