Decay estimates for a class of semigroups related to self-adjoint operators on metric measure spaces

Guoxia Feng, Manli Song, Huoxiong Wu

Assume that $(X,d,\mu )$ is a metric space endowed with a non-negative Borel measure $\mu$ satisfying the doubling condition and the additional condition that $\mu (B(x,r))\gtrsim r^n$ for…