Singular integrals on symmetric spaces, II

DOI10.1090/S0002-9947-03-03312-9zbMath1014.22012MaRDI QIDQ4806489

Alexandru D. Ionescu

Publication date: 14 May 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Fourier multiplierssingular integralstransference principleRiemannian symmetric spaces\(L^p\)-boundness

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46)

Related Items (12)

Marcinkiewicz-type multipliers on products of noncompact symmetric spaces ⋮ 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 ⋮ Sharp endpoint results for imaginary powers and Riesz transforms on certain noncompact manifolds ⋮ Inclusions and noninclusions of Hardy type spaces on certain nondoubling manifolds ⋮ Spectral projectors, resolvent, and Fourier restriction on the hyperbolic space ⋮ Multipliers on locally symmetric spaces ⋮ Weak type estimates for spherical multipliers on noncompact symmetric spaces ⋮ A multiplier theorem for sub-Laplacians with drift on Lie groups ⋮ Geometric invariants of locally symmetric spaces and multiplier theorems ⋮ Schrödinger Equations on Damek–Ricci Spaces

Cites Work

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• \(L^ p\)-estimates on functions of the Laplace operator
• Some function spaces on symmetric spaces related to convolution operators
• Weak type \(L^ 1\) estimates for maximal functions on non-compact symmetric spaces
• \(\mathbb{L}_ p\) Fourier multipliers on Riemannian symmetric spaces of the noncompact type
• The Kunze-Stein phenomenon
• Expansions for spherical functions on noncompact symmetric spaces
• \(L^ p\)-\(L^ q\) estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. I
• Singular integrals on symmetric spaces of real rank one
• Heat kernel and Green function estimates on noncompact symmetric spaces
• Fatou's theorem for symmetric spaces
• Spherical Functions on a Semisimple Lie Group, I
• L ^p -multipliers for Noncompact Symmetric Spaces
• Multiplicateurs Sur Certains Espaces Symetriques
• Uniformly Bounded Representations and Harmonic Analysis of the 2 x 2 Real Unimodular Group
• Lp multipliers on noncompact symmetric spaces.

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