Gradient estimates for heat kernels and harmonic functions

Thierry Coulhon, Renjin Jiang, Pekka Koskela +1

Let $(X,d,\mu )$ be a doubling metric measure space endowed with a Dirichlet form $\E$ deriving from a "carré du champ". Assume that $(X,d,μ,\E)$ supports a scale-invariant $L^2$-Poin…