Riesz transforms on compact Riemannian symmetric spaces of rank one

DOI10.1007/s00032-015-0244-zzbMath1338.53078arXiv1308.6507OpenAlexW1631858413WikidataQ115389317 ScholiaQ115389317MaRDI QIDQ901837

Óscar Ciaurri, Pablo Raúl Stinga, Luz Roncal

Publication date: 6 January 2016

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.6507

zbMATH Keywords

Laplace-Beltrami operatorJacobi operatorRiesz transformmixed norm spacescompact Riemannian symmetric spaces of rank 1Jacobi-Riesz transformRubio de Francia extrapolationtheorem, Jacobi expansions

Mathematics Subject Classification ID

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) Differential geometry of symmetric spaces (53C35)

Related Items (2)

Genuinely sharp heat kernel estimates on compact rank-one symmetric spaces, for Jacobi expansions, on a ball and on a simplex ⋮ Nondegeneracy and stability of antiperiodic bound states for fractional nonlinear Schrödinger equations

Cites Work

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• Vector-valued extensions for fractional integrals of Laguerre expansions
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