Spectra of infinitesimal generators of composition semigroups on weighted Bergman spaces induced by doubling weights

Ruishen Qian, Fanglei Wu, Hasi Wulan

Suppose $(C_t{)}_{t\ge 0}$ is the composition semigroup induced by a one-parameter semigroup $(\ddot{I}{†}_t{)}_{t\ge 0}$ of analytic self-maps of the unit disk. The main purpose of the paper i…