Multilinear spectral multipliers on Lie groups of polynomial growth
DOI10.1007/s12220-020-00530-yzbMath1482.43010OpenAlexW3092278299WikidataQ115376748 ScholiaQ115376748MaRDI QIDQ2050542
Jingxuan Fang, Ji Man Zhao, Hong-Bo Li
Publication date: 31 August 2021
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-020-00530-y
\(L^p\) boundednessweighted \(L^p\) boundednessLie groups of polynomial growthmultilinear spectral multipliers
Multipliers for harmonic analysis in several variables (42B15) Analysis on other specific Lie groups (43A80) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sharp estimates of unimodular multipliers on frequency decomposition spaces
- Fourier multipliers on Triebel-Lizorkin-type spaces
- Littlewood-Paley and spectral multipliers on weighted \(L^p\) spaces
- Analysis of joint spectral multipliers on Lie groups of polynomial growth
- Approximation of several dimensional functions by trigonometric polynomials
- Orlicz spaces and modular spaces
- Estimates for translation invariant operators in \(L^p\) spaces
- A Hörmander type multiplier theorem for multilinear operators
- \(H^ p\)-multipliers on stratified groups
- On \(L^ p\) spectral multipliers for a solvable Lie group
- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
- Vector-valued multipliers on stratified groups
- Analysis on Lie groups with polynomial growth
- Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type
- From the \(L^ 1\) norms of the complex heat kernels to a Hörmander multiplier theorem for sub-Laplacians on nilpotent Lie groups
- Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I
- \(L^ p\) multipliers and their \(H^ 1\)-\(L^ 1\) estimates on the Heisenberg group
- Minimal smoothness conditions for bilinear Fourier multipliers
- Bilinear spectral multipliers on Heisenberg groups
- Bilinear square spectral multipliers on stratified groups
- \(H^p\) boundedness of multilinear spectral multipliers on stratified groups
- Besov 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
- Generalization of one sufficient condition for Fourier multipliers
- Multilinear multiplier theorems and applications
- Sobolev norm estimates for a class of bilinear multipliers
- Left centralizers and isomorphisms of group algebras
- Multilinear Fourier multipliers\cr with minimal Sobolev regularity, I
- Systems of dyadic cubes in a doubling metric space
- A multiplier theorem for H-type groups
- L p Bounds for Spectral Multipliers on Nilpotent Groups
- Spectral Multipliers on Lie Groups of Polynomial Growth
- Transference for Radial Multipliers and Dimension Free Estimates
- Multilinear and multiparameter spectral multipliers on stratified groups
- Besov Spaces and Hausdorff Dimension For Some Carnot-Carathéodory Metric Spaces
- On Multilinear Fourier Multipliers of Limited Smoothness
- Littlewood–Paley decompositions and Besov spaces on Lie groups of polynomial growth
- Analysis on Lie groups
- Boundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces
This page was built for publication: Multilinear spectral multipliers on Lie groups of polynomial growth