\(L^p-L^q\) estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. III

DOI10.5802/aif.1844zbMath0980.43007OpenAlexW1640345796MaRDI QIDQ5944302

Stefano Meda, Michael G. Cowling, Saverio Giulini

Publication date: 8 October 2001

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2001__51_4_1047_0

zbMATH Keywords

Laplace-Beltrami operatorsemisimple Lie group\(L^p-L^q\) estimatesPoisson semigroup

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Heat and other parabolic equation methods for PDEs on manifolds (58J35) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Hyperbolic equations on manifolds (58J45)

Related Items (3)

Schrödinger equation on non-compact symmetric spaces ⋮ Functional calculus for the Laguerre operator ⋮ Norms of certain functions of a distinguished Laplacian on the \(ax+b\) groups

Cites Work

• \(L^ p\)-estimates on functions of the Laplace operator
• Estimates for translation invariant operators in \(L^p\) spaces
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• \(\mathbb{L}_ p\) Fourier multipliers on Riemannian symmetric spaces of the noncompact type
• Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces
• On the wave equation on a compact Riemannian manifold without conjugate points
• \(L^ p\)-\(L^ q\) estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. I
• Heat kernel and Green function estimates on noncompact symmetric spaces
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