Multiplicateurs Sur Certains Espaces Symetriques

DOI10.2307/2374528zbMath0616.43009OpenAlexW2327133335MaRDI QIDQ4725117

Jean-Philippe Anker, Noël Lohoué

Publication date: 1986

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

Full work available at URL: https://doi.org/10.2307/2374528

zbMATH Keywords

Laplacianpotentialsharmonic analysis on symmetric spacesRiesz transformationsRiesz resolvents

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22)

Related Items (28)

Marcinkiewicz-type multipliers on products of noncompact symmetric spaces ⋮ Fourier multipliers in \(\mathrm{SL}_n(\mathbb{R})\) ⋮ Vector-valued Fourier multipliers on symmetric spaces of the noncompact type ⋮ Singular integrals on symmetric spaces, II ⋮ Estimations $L^p$ des fonctions du Laplacien sur les variétés cuspidales ⋮ Schrödinger equations on locally symmetric spaces ⋮ Spectral multipliers on exponentially locally doubling metric measure spaces ⋮ Oscillating multipliers on symmetric and locally symmetric spaces ⋮ A short proof of a classical covering lemma ⋮ Spectral multiplier theorems of Euclidean type on new classes of two-step stratified groups ⋮ The Riesz transformation on conical varieties ⋮ Local Hardy spaces of differential forms on Riemannian manifolds ⋮ \(L^p\)-boundedness of pseudo-differential operators on rank one Riemannian symmetric spaces of noncompact type ⋮ Riesz transformations on a class of manifolds with conical singularities ⋮ Multipliers on locally symmetric spaces ⋮ Sub-Laplacians of holomorphic \(L^p\)-type on rank one AN-groups and related solvable groups ⋮ Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces ⋮ Weak type estimates for spherical multipliers on noncompact symmetric spaces ⋮ Spectral Multipliers on Lie Groups of Polynomial Growth ⋮ \(L^ p\)-estimates on functions of the Laplace operator ⋮ A multiplier theorem for sub-Laplacians with drift on Lie groups ⋮ Geometric invariants of locally symmetric spaces and multiplier theorems ⋮ Multiplicateurs de Mikhlin pour une classe particulière de groupes non-unimodulaires. (Mikhlin multipliers for a particular class of non-unimodular groups.) ⋮ Estimates for operators related to the sub-Laplacian with drift in Heisenberg groups ⋮ Analysis of the Hodge Laplacian on the Heisenberg group ⋮ Fourier integral operators on noncompact symmetric spaces of real rank one ⋮ Singular integrals on symmetric spaces of real rank one ⋮ \(L^ p\)-\(L^ q\) estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. I

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