Some function spaces on symmetric spaces related to convolution operators

DOI10.1016/0022-1236(84)90010-7zbMath0556.43002OpenAlexW2023573427MaRDI QIDQ760871

Noël Lohoué, Thomas Rychener

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90010-7

zbMATH Keywords

symmetric spacesemi-simple Lie groupbounded operator\(L^ p(G)\)

Mathematics Subject Classification ID

(L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (17)

Singular integrals on symmetric spaces, II ⋮ A characterization of the \(L^{2}\)-range of the Poisson transform related to Strichartz conjecture on symmetric spaces of noncompact type ⋮ Unnamed Item ⋮ Fourier and Radon transform on harmonic 𝑁𝐴 groups ⋮ A characterization of weak \(L^p\)-eigenfunctions of the Laplacian on homogeneous trees ⋮ A characterization of the \(L^2\)-range of the Poisson transforms on a class of vector bundles over the quaternionic hyperbolic spaces ⋮ Wiener-Tauberian type theorems for radial sections of homogeneous vector bundles on certain rank one Riemannian symmetric spaces of noncompact type ⋮ Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces ⋮ The Kunze-Stein phenomenon associated with Jacobi transforms ⋮ Characterization of almost 𝐿^{𝑝}-eigenfunctions of the Laplace-Beltrami operator ⋮ The role of restriction theorems in harmonic analysis on harmonic \(NA\) groups ⋮ Characterization of the Lp-range of the Poisson transform on the Octonionic Hyperbolic Plane ⋮ Fourier restriction theorem and characterization of weak \(L^2\) eigenfunctions of the Laplace-Beltrami operator ⋮ On the Poisson transform on symmetric spaces of real rank one ⋮ Analysis of the Laplacian on a complete Riemannian manifold ⋮ Singular integrals on symmetric spaces of real rank one ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Estimations \(L^ p\) des coefficients de représentation et opérateurs de convolution
• The dual of weak \(L^p\)
• On L(p,q) spaces
• A duality for symmetric spaces with applications to group representations
• Sur la racine carrée du noyau de Poisson dans les espaces symétriques et une conjecture de E. M. Stein
• Approach regions for the square root of the Poisson kernel and bounded functions
• Harmonic Functions on Hermitian Hyperbolic Space
• Fatou Theorems for Eigenfunctions of the Invariant Differential Operators on Symmetric Spaces

This page was built for publication: Some function spaces on symmetric spaces related to convolution operators