A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces

From MaRDI portal
Publication:481688

DOI10.1016/j.aim.2014.08.014zbMath1304.35314arXiv1311.0367OpenAlexW2963214639MaRDI QIDQ481688

Salahaddine Boutayeb, Thierry Coulhon, Adam S. Sikora

Publication date: 12 December 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0367



Related Items

Heat semigroup and singular PDEs. With an appendix by F. Bernicot and D. Frey, OBSERVATIONS ON GAUSSIAN UPPER BOUNDS FOR NEUMANN HEAT KERNELS, Gaussian heat kernel bounds through elliptic Moser iteration, Lie group approach to Grushin operators, Finite speed of propagation and off-diagonal bounds for Ornstein-Uhlenbeck operators in infinite dimensions, Riesz transforms through reverse Hölder and Poincaré inequalities, \(L^p\)-estimates for the heat semigroup on differential forms, and related problems, Heat kernel and Riesz transform of Schrödinger operators, Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes, Estimates for the covariant derivative of the heat semigroup on differential forms, and covariant Riesz transforms, Bounds on the maximal Bochner-Riesz means for elliptic operators, Gradient estimates and applications for Neumann semigroup on narrow strip, Spectral multipliers without semigroup framework and application to random walks, Riesz transform via heat kernel and harmonic functions on non-compact manifolds, The Hodge-de Rham Laplacian and \(L^p\)-boundedness of Riesz transforms on non-compact manifolds, Sobolev algebras through heat kernel estimates, Gaussian heat kernel estimates: from functions to forms, On gradient estimates for heat kernels, Riesz transforms of the Hodge-de Rham Laplacian on Riemannian manifolds, Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups*, Riesz transform under perturbations via heat kernel regularity, Spectral multipliers via resolvent type estimates on non-homogeneous metric measure spaces, Gradient estimates for heat kernels and harmonic functions, Stability of heat kernel estimates for symmetric non-local Dirichlet forms, Quantitative Sobolev extensions and the Neumann heat kernel for integral Ricci curvature conditions



Cites Work