Fractional integrals on compact Riemannian symmetric spaces of rank one

DOI10.1016/j.aim.2012.12.009zbMath1297.43011arXiv1205.3957OpenAlexW2963960396WikidataQ115362067 ScholiaQ115362067MaRDI QIDQ1941164

Pablo Raúl Stinga, Luz Roncal, Óscar Ciaurri

Publication date: 11 March 2013

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3957

zbMATH Keywords

Laplace-Beltrami operatorfractional integralmixed norm spacesweighted inequalityJacobi expansionstwo-point homogeneous spacesanalysis on compact Riemannian symmetric spaces of rank one

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Harmonic analysis on homogeneous spaces (43A85) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Elliptic equations on manifolds, general theory (58J05)

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Genuinely sharp heat kernel estimates on compact rank-one symmetric spaces, for Jacobi expansions, on a ball and on a simplex ⋮ Analytical solutions of a class of fractional Lane-Emden equation: a power series method ⋮ Mixed norm estimates for the Riesz transforms on the Heisenberg group ⋮ Sobolev spaces associated with Jacobi expansions ⋮ Riesz transforms on compact Riemannian symmetric spaces of rank one ⋮ Potential operators associated with Jacobi and Fourier-Bessel expansions ⋮ Unnamed Item ⋮ Theorems of Chernoff and Ingham for certain eigenfunction expansions ⋮ On a theorem of Chernoff on rank one Riemannian symmetric spaces ⋮ Descriptions of fractional coefficients of Jacobi polynomial expansions ⋮ Analysis related to all admissible type parameters in the Jacobi setting

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