On fractional powers of generators of fractional resolvent families

Miao Li, Chuang Chen, Fu-Bo Li

We show that if $-A$ generates a bounded $\alpha$-times resolvent family for some $\alpha \in (0,2]$, then $-A^{\beta }$ generates an analytic $\gamma$-times resolvent family for $β\in(0,\frac{2π-πγ}{2π-…