On commutants of composition operators embedded into $C_0$-semigroups
On commutants of composition operators embedded into $C_0$-semigroups
Let $C_\varphi$ be a composition operator acting on the Hardy space of the unit disc $H^p$ ($1\leq p < \infty$), which is embedded in a $C_0$-semigroup of composition operators $\mathcal{T}=(C_{\varphi_t})_{t\geq 0}.$ We investigate whether the commutant or the bicommutant of $C_\varphi$, or the commutant of the semigroup $\mathcal{T}$, are isomorphic …