Generators of $C_0$-semigroups of weighted composition operators

Eva A. Gallardo-Gutiérrez, Aristomenis G. Siskakis, Dmitry Yakubovich

We prove that in a large class of Banach spaces of analytic functions in the unit disc $\mathbb{D}$ an (unbounded) operator $Af=G\cdot f^{\prime }+g\cdot f$ with $G,g$ analytic in $\math…