Riesz transform and perturbation

DOI10.1007/BF02930721zbMath1122.58014MaRDI QIDQ883209

Nick Dungey, Thierry Coulhon

Publication date: 4 June 2007

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

PerturbationNoncompact Closed Riemannian ManifoldRiesz Transform

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) General theory of partial differential operators (47F05) Linear accretive operators, dissipative operators, etc. (47B44) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (11)

Riesz transforms through reverse Hölder and Poincaré inequalities ⋮ Riesz transforms of Schrödinger operators on manifolds ⋮ Heat kernel and Riesz transform of Schrödinger operators ⋮ Conservation de certaines propriétés à travers un contrôle épars d’un opérateur et applications au projecteur de Leray–Hopf ⋮ Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I. ⋮ Riesz transforms associated with higher-order Schrödinger type operators ⋮ Gradient estimate of the heat kernel on modified graphs ⋮ Riesz transforms on connected sums ⋮ Riesz transform under perturbations via heat kernel regularity ⋮ Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space ⋮ The Riesz transform for homogeneous Schrödinger operators on metric cones

Cites Work

• Unnamed Item
• Unnamed Item
• Riesz transforms for symmetric diffusion operators on complete Riemannian manifolds
• Heat kernel estimates and Riesz transforms on some Riemannian covering manifolds
• Bounds of Riesz transforms on \(L^p\) spaces for second order elliptic operators.
• \(L^p\) bounds for Riesz transforms and square roots associated to second order elliptic operators
• Heat kernel on a manifold with a local Harnack inequality
• Stability of weighted Laplace-Beltrami operators under \(L^ p\)-perturbation of the Riemannian metric
• Gradient estimate of the heat kernel on modified graphs
• Large time behavior of heat kernels on forms
• Riesz transforms for
• Riesz transform on manifolds and heat kernel regularity
• Riesz transforms for $1\le p\le 2$
• Riesz transform and related inequalities on non‐compact Riemannian manifolds

This page was built for publication: Riesz transform and perturbation