3 problems

Let (KE) denote the energy-comparability property, and suppose a metric measure space admits a heat kernel satisfying the heat kernel estimate (hk). Heat-kernel implication questio…

Let $(M_1,d_1,{\Greekmath 0116}_1)$ and $(M_2,d_2,{\Greekmath 0116}_2)$ be metric measure spaces admitting heat kernels satisfying the heat kernel estimate (hk), with the same expo…

Continuity conjecture.