Estimates for operators related to the sub-Laplacian with drift in Heisenberg groups

DOI10.1007/s00041-021-09897-0zbMath1485.58022OpenAlexW4205169087MaRDI QIDQ2066263

Peter Sjögren, Hong-Quan Li

Publication date: 14 January 2022

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-021-09897-0

zbMATH Keywords

Heisenberg groupRiesz transformsLittlewood-Paley-Stein operatorssub-Laplacian with drift

Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (1)

Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weak type \((1,1)\) of some operators for the Laplacian with drift
• Riesz transforms through reverse Hölder and Poincaré inequalities
• Weak type (1,1) bounds for some operators related to the Laplacian with drift on real hyperbolic spaces
• Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. II.
• The Riesz transform for homogeneous Schrödinger operators on metric cones
• Analyse sur les groupes de Lie à croissance polynômiale. (Analysis on Lie groups of polynomial growth)
• Asymptotic estimates for the heat kernel on Heisenberg groups
• Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I.
• Analysis of the Laplacian on a complete Riemannian manifold
• Comparaison des champs de vecteurs et des puissances du Laplacien sur une variété Riemannienne à courbure non positive
• The Riesz transformation on conical varieties
• Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Weak-type estimates for the Riesz transform associated with the Gaussian measure
• Multipliers and singular integrals on exponential growth groups
• Hamilton-Jacobi theory and the heat kernel on Heisenberg groups
• A note on ``Riesz transform for \(1\leq p\leq 2\) without Gaussian heat kernel bound
• Riesz transform on manifolds with quadratic curvature decay
• Riesz transform for \(1\leq p \leq 2\) without Gaussian heat kernel bound
• Gradient estimates for heat kernels and harmonic functions
• Singular integrals associated to the Laplacian on the affine group \(ax+b\)
• Riesz transforms on connected sums
• Riesz transform and \(L^p\)-cohomology for manifolds with Euclidean ends
• Sur les transformées de Riesz sur les espaces homogènes des groupes de Lie semi-simples
• Sub-Laplacians with drift on Lie groups of polynomial volume growth
• Riesz transform on manifolds and heat kernel regularity
• An Application of Homogenization Theory to Harmonic Analysis: Harnack Inequalities And Riesz Transforms on Lie Groups of Polynomial Growth
• Transformees de Riesz et Fonctions Sommables
• The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the Heisenberg group
• Sur les Transformées de Riesz sur les Groupes de Lie Moyennables et sur Certains Espaces Homogènes
• Riesz transforms for $1\le p\le 2$
• An estimate for a first-order Riesz operator on the affine group
• Sur les transformées de Riesz dans le cas du Laplacien avec drift
• Operators Associated with the Ornstein-Uhlenbeck Semigroup
• Multiplicateurs Sur Certains Espaces Symetriques
• Littlewood–Paley–Stein functions on complete Riemannian manifolds for 1≤p≤2
• A simple-minded computation of heat kernels on Heisenberg groups
• A Comprehensive Introduction to Sub-Riemannian Geometry
• Sharp endpoint estimates for some operators associated with the Laplacian with drift in Euclidean space
• Riesz transforms on a class of non-doubling manifolds
• A dichotomy concerning uniform boundedness of Riesz transforms on Riemannian manifolds
• Fonctions maximales centrées de Hardy–Littlewood sur les groupes de Heisenberg
• Riesz meets Sobolev
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)

This page was built for publication: Estimates for operators related to the sub-Laplacian with drift in Heisenberg groups