Multilinear spectral multipliers on Lie groups of polynomial growth
type: Item
instance of: scholarly article
title: Multilinear spectral multipliers on Lie groups of polynomial growth
zbMATH Open document ID: 1482.43010
author: Jingxuan Fang
author: Hongbo Li
author: Jian Zhao
published in: The Journal of Geometric Analysis
publication date: 2021-08-31T00:00:00Z
Mathematics Subject Classification ID: 43A80
Mathematics Subject Classification ID: 42B15
Mathematics Subject Classification ID: 47B40
zbMATH DE Number: 7388726
zbMATH Keywords: multilinear spectral multipliers
zbMATH Keywords: Lie groups of polynomial growth
zbMATH Keywords: \(L^p\) boundedness
zbMATH Keywords: weighted \(L^p\) boundedness
Wikidata QID: Q115376748
MaRDI profile type: Publication
full work available at URL: s12220-020-00530-y
OpenAlex ID: W3092278299
cites work: Spectral Multipliers on Lie Groups of Polynomial Growth
cites work: Transference for Radial Multipliers and Dimension Free Estimates
cites work: Sobolev norm estimates for a class of bilinear multipliers
cites work: Q3029531
cites work: Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
cites work: \(L^p\)-bounds for Stein's square functions associated to operators and applications to spectral multipliers
cites work: Boundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces
cites work: Approximation of several dimensional functions by trigonometric polynomials
cites work: L p Bounds for Spectral Multipliers on Nilpotent Groups
cites work: On \(L^ p\) spectral multipliers for a solvable Lie group
cites work: Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type
cites work: Analysis on Lie groups with polynomial growth
cites work: From the \(L^ 1\) norms of the complex heat kernels to a Hörmander multiplier theorem for sub-Laplacians on nilpotent Lie groups
cites work: Multilinear and multiparameter spectral multipliers on stratified groups
cites work: Besov spaces with variable smoothness and integrability on Lie groups of polynomial growth
cites work: \(H^p\) boundedness of multilinear spectral multipliers on stratified groups
cites work: Bilinear square spectral multipliers on stratified groups
cites work: Littlewood–Paley decompositions and Besov spaces on Lie groups of polynomial growth
cites work: Q3700300
cites work: Littlewood-Paley and spectral multipliers on weighted \(L^p\) spaces
cites work: Multilinear Fourier multipliers with minimal Sobolev regularity. I
cites work: On Multilinear Fourier Multipliers of Limited Smoothness
cites work: Multilinear multiplier theorems and applications
cites work: Estimates for translation invariant operators in \(L^p\) spaces
cites work: Generalization of one sufficient condition for Fourier multipliers
cites work: \(L^ p\) multipliers and their \(H^ 1\)-\(L^ 1\) estimates on the Heisenberg group
cites work: Q4368102
cites work: Analysis of joint spectral multipliers on Lie groups of polynomial growth
cites work: Vector-valued multipliers on stratified groups
cites work: \(H^ p\)-multipliers on stratified groups
cites work: Q3234734
cites work: Minimal smoothness conditions for bilinear Fourier multipliers
cites work: Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I
cites work: Orlicz spaces and modular spaces
cites work: A multiplier theorem for H-type groups
cites work: Q3909512
cites work: Bilinear spectral multipliers on Heisenberg groups
cites work: Besov Spaces and Hausdorff Dimension For Some Carnot-Carathéodory Metric Spaces
cites work: A Hörmander type multiplier theorem for multilinear operators
cites work: Systems of dyadic cubes in a doubling metric space
cites work: Analysis on Lie groups
cites work: Q4002250
cites work: Left centralizers and isomorphisms of group algebras
cites work: Q4548690
cites work: Fourier multipliers on Triebel-Lizorkin-type spaces
cites work: Sharp estimates of unimodular multipliers on frequency decomposition spaces
DOI: 10.1007/S12220-020-00530-Y
description: scientific article; zbMATH DE number 7388726