Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations

Jizheng Huang, Pengtao Li, Yu Liu +1

Let $(\mathbb{M},d,\mu )$ be a metric measure space with upper and lower densities: $$ \begin{cases} |||μ|||_β:=\sup_{(x,r)\in \mathbb M\times(0,\infty)} μ(B(x,r))r^{-β}<\infty;\\ |||…