Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces

From MaRDI portal
Publication:944251

DOI10.1007/s00222-008-0135-9zbMath1154.47034OpenAlexW1982257428MaRDI QIDQ944251

Alexander Grigor'yan, Jiaxin Hu

Publication date: 15 September 2008

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-008-0135-9




Related Items (33)

Upper estimates of heat kernels for non-local Dirichlet forms on doubling spacesBesov-type and Triebel-Lizorkin-type spaces associated with heat kernelsPerturbations of positive semigroups on \(L_p\)-spacesCONVERGENCE OF DIRICHLET FORMS AND BESOV NORMS ON SCALE IRREGULAR SIERPIŃSKI GASKETSOn the perturbation of positive semigroupsTwo-sided estimates of heat kernels of jump type Dirichlet formsEstimates of heat kernels for non-local regular Dirichlet formsOn-diagonal heat kernel lower bound for strongly local symmetric Dirichlet formsOn spectral estimates for Schrödinger-type operators: the case of small local dimensionHeat kernel and curvature bounds in Ricci flows with bounded scalar curvatureOn the equivalence of parabolic Harnack inequalities and heat kernel estimatesUpper heat kernel estimates for nonlocal operators via Aronson's methodBlow-up on metric graphs and Riemannian manifoldsMarkov chain approximations for nonsymmetric processesGeneralized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spacesTwo-sided estimates of heat kernels on metric measure spacesScale-invariant boundary Harnack principle on inner uniform domains in fractal-type spacesA note on the volume growth criterion for stochastic completeness of weighted graphsHeat kernel estimates for the fractional Laplacian with Dirichlet conditionsWidder's representation theorem for symmetric local Dirichlet spacesUpper escape rate for weighted graphs via metric graphsSharp heat kernel bounds and entropy in metric measure spacesSpectral theory of infinite quantum graphsLower estimates of heat kernels for non-local Dirichlet forms on metric measure spacesHeat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operatorsComparison inequalities for heat semigroups and heat kernels on metric measure spacesRestriction of heat equation with Newton-Sobolev data on metric measure spaceHardy's inequality and Green function on metric measure spacesSchröodinger equations and heat kernel upper bounds on metric spacesFaber-Krahn type inequalities and uniqueness of positive solutions on metric measure spacesFractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equationsAnalysis and stochastic processes on metric measure spacesPotential theory on Gromov hyperbolic spaces



Cites Work


This page was built for publication: Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces