Multipliers for a distinguished Laplacean on solvable extensions of \(H\)-type groups

DOI10.1007/BF01294856zbMath0865.43004MaRDI QIDQ1907003

Francesca Astengo

Publication date: 6 July 1997

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178701

zbMATH Keywords

Lie algebraLie groupLaplace-Beltrami operatorheat kernelLaplacianmultipliersolvable groupHeisenberg type algebra

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items

Estimations $L^p$ des fonctions du Laplacien sur les variétés cuspidales, Fourier and Radon transform on harmonic 𝑁𝐴 groups, Spectral multipliers for Laplacians with drift on Damek-Ricci spaces, Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups, Sub-Laplacians of holomorphic \(L^p\)-type on rank one AN-groups and related solvable groups, Equivalent characterizations for boundedness of maximal singular integrals on \(ax+b\)-groups, Dyadic sets, maximal functions and applications on \(ax + b\)-groups, A maximal function on harmonic extensions of \(H\)-type groups, Wave equation and multiplier estimates on Damek-Ricci spaces, Multiplicateurs de Mikhlin pour une classe particulière de groupes non-unimodulaires. (Mikhlin multipliers for a particular class of non-unimodular groups.), Schrödinger Equations on Damek–Ricci Spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Harmonic analysis on solvable extensions of H-type groups
• An approach to symmetric spaces of rank one via groups of Heisenberg type
• \(H\)-type groups and Iwasawa decompositions
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Weak Type (1, 1) Estimates for Heat Kernel Maximal Functions on Lie Groups
• The geometry of a semi-direct extension of a Heisenberg type nilpotent group
• Curvature of a semi-direct extension of a Heisenberg type nilpotent group
• A class of nonsymmetric harmonic Riemannian spaces
• Subalgebra of $L_1(G)$ associated with Laplacian on a Lie group
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• Analysis of a Distinguished Laplacian on Solvable Lie Groups
• Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth
• Analysis on Lie groups