Two-sided estimates of heat kernels on metric measure spaces
arXiv:1205.5627 · doi:10.1214/11-AOP645
Abstract
We prove equivalent conditions for two-sided sub-Gaussian estimates of heat kernels on metric measure spaces.
Published in at http://dx.doi.org/10.1214/11-AOP645 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
References in corpus (2)
Cited by in corpus (14)
- Derivations and Dirichlet forms on fractals
- Liouville heat kernel: regularity and bounds
- Besov-Type and Triebel--Lizorkin-Type Spaces Associated with Heat Kernels
- One-dimensional wave equations defined by fractal Laplacians
- Perpetual Integral Functionals of Multidimensional Stochastic Processes
- Limits of manifolds with a Kato bound on the Ricci curvature
- Long time behavior of the volume of the Wiener sausage on Dirichlet spaces
- Unique continuation for the momentum ray transform
- Maximal Hörmander Functional Calculus on Lp Spaces and UMD Lattices
- Spectral bounds for exit times on metric measure Dirichlet spaces and applications
- Heat kernel-based p-energy norms on metric measure spaces
- Heat kernel estimates on local and non-local Dirichlet spaces satisfying a weak chain condition
- Stability of heat kernel bounds under pointed Gromov--Hausdorff convergence
- Evolution of the Torsional Rigidity under Geometric Flows