Spectral Multipliers on Lie Groups of Polynomial Growth
From MaRDI portal
Publication:4290827
DOI10.2307/2160495zbMath0794.43003OpenAlexW4235527338MaRDI QIDQ4290827
Publication date: 5 May 1994
Full work available at URL: https://doi.org/10.2307/2160495
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)
Related Items
On the 𝐿²→𝐿^{∞} norms of spectral multipliers of “quasi-homogeneous” operators on homogeneous groups, Spectral multiplier theorems and averaged \(R\)-boundedness, Spectral multiplier theorem and sub-Gaussian heat kernel estimates, Triebel-Lizorkin spaces with variable smoothness and integrability on Lie groups of polynomial growth, \(L^p\)-bounds for Stein's square functions associated to operators and applications to spectral multipliers, Oscillating multipliers on Lie groups and Riemannian manifolds, Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means, Bochner-Riesz profile of anharmonic oscillator \(\mathcal{L} = -\frac{d^2}{dx^2} + |x|\), Spectral multiplier theorems via \(H^\infty\) calculus and \(R\)-bounds, Bilinear spectral multipliers on Heisenberg groups, Sobolev spaces on graded Lie groups, Estimations $L^p$ des fonctions du Laplacien sur les variétés cuspidales, Characterization of residuated lattices via multipliers, Joint spectral multipliers for mixed systems of operators, Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups, Radial maximal function characterizations of Hardy spaces on RD-spaces and their applications, Spectral multiplier theorems of Euclidean type on new classes of two-step stratified groups, Spectral multipliers for Laplacians with drift on Damek-Ricci spaces, Riesz means on Lie groups and riemannian manifolds of nonnegative curvature, Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheres, Bilinear square spectral multipliers on stratified groups, On \(L^ p\) spectral multipliers for a solvable Lie group, \(L^p\)-bounds for pseudo-differential operators on graded Lie groups, On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates, Differential structure on the dual of a compact Lie group, New properties of Besov and Triebel-Lizorkin spaces on RD-spaces, Fourier multipliers for Hardy spaces on graded Lie groups, Oscillating singular integral operators on compact Lie groups revisited, Multilinear spectral multipliers on Besov and Triebel-Lizorkin spaces on Lie groups of polynomial growth, The Mihlin multiplier theorem on anisotropic mixed-norm Hardy spaces, Sobolev algebras on Lie groups and noncommutative geometry, Boundedness of paraproduct operators on RD-spaces, Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups, Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type, An optimal multiplier theorem for Grushin operators in the plane. I, Maximal function characterizations of Hardy spaces associated with Schrödinger operators on nilpotent Lie groups, Spectral multipliers for Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates, Spectral multipliers without semigroup framework and application to random walks, Crossed-products extensions, of \(L_p\)-bounds for amenable actions, Strichartz estimates on the quaternion Heisenberg group, Imaginary powers of Laplace operators, Commutators of BMO functions with spectral multiplier operators, Spectral multipliers for Schrödinger operators, Weighted \(L^p\) estimates for powers of selfadjoint operators, Musielak-Orlicz-Hardy spaces associated with operators and their applications, Multipliers on locally symmetric spaces, Multivariate Hörmander-type multiplier theorem for the Hankel transform, Sharp spectral multipliers for a new class of Grushin type operators, Dunkl spectral multipliers with values in UMD lattices, Sobolev spaces adapted to the Schrödinger operator with inverse-square potential, Multipliers for Besov spaces on graded Lie groups, A characterization of Hajłasz-Sobolev and Triebel-Lizorkin spaces via grand Littlewood-Paley functions, Hölder-Besov boundedness for periodic pseudo-differential operators, A Marcinkiewicz criterion for \(L^p\)-multipliers related to Schrödinger operators with constant magnetic fields, Analysis of joint spectral multipliers on Lie groups of polynomial growth, Radial maximal function characterizations for Hardy spaces on RD-spaces, Spectral multipliers on spaces of distributions associated with non-negative self-adjoint operators, A multiplier theorem for sub-Laplacians with drift on Lie groups, Functional calculus on non-homogeneous operators on nilpotent groups, Geometric invariants of locally symmetric spaces and multiplier theorems, A difference characterization of Besov and Triebel-Lizorkin spaces on RD-spaces, \(L^p\) Fourier multipliers on compact Lie groups, A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces, Multilinear spectral multipliers on Lie groups of polynomial growth, \(H^p\) boundedness of multilinear spectral multipliers on stratified groups, Multiplicateurs de Mikhlin pour une classe particulière de groupes non-unimodulaires. (Mikhlin multipliers for a particular class of non-unimodular groups.), Notes on boundedness of spectral multipliers on Hardy spaces associated to operators, Paley-Littlewood decomposition for sectorial operators and interpolation spaces, Convolution kernels versus spectral multipliers for sub-Laplacians on groups of polynomial growth, A spectral multiplier theorem for non-self-adjoint operators, Hörmander functional calculus on UMD lattice valued \(L^p\) spaces under generalized Gaussian estimates, A spectral multiplier theorem for Hardy spaces associated with Schrödinger operator on the Heisenberg group, Multilinear and multiparameter spectral multipliers on homogeneous Besov and Triebel-Lizorkin spaces on Lie groups of polynomial growth, The \(\square_b\) heat equation and multipliers via the wave equation, Sharp multiplier theorem for multidimensional Bessel operators, Maximal function characterizations of Hardy spaces on RD-spaces and their applications, Fourier multipliers on graded Lie groups, Besov spaces with variable smoothness and integrability on Lie groups of polynomial growth, Maximal functions for multipliers on stratified groups, Spectral multipliers for sub-Laplacians with drift on Lie groups, Norms of certain functions of a distinguished Laplacian on the \(ax+b\) groups, Plancherel-type estimates and sharp spectral multipliers, Spectral multipliers on Heisenberg-Reiter and related groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(L^ p\)-estimates on functions of the Laplace operator
- Analyse sur les groupes de Lie à croissance polynômiale. (Analysis on Lie groups of polynomial growth)
- Estimates for translation invariant operators in \(L^p\) spaces
- Balls and metrics defined by vector fields. I: Basic properties
- \(H^ p\)-multipliers on stratified groups
- \(\mathbb{L}_ p\) Fourier multipliers on Riemannian symmetric spaces of the noncompact type
- Vector-valued multipliers on stratified groups
- Expansions for spherical functions on noncompact symmetric spaces
- Almost Everywhere Summability on Nilmanifolds
- L p Bounds for Spectral Multipliers on Nilpotent Groups
- Croissance polynomiale et périodes des fonctions harmoniques
- L p -multipliers for Noncompact Symmetric Spaces
- Multiplicateurs Sur Certains Espaces Symetriques
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
- Analysis on Lie groups
