Iterated Aluthge transforms of some composition operators on weighted Bergman spaces

Sudeshna Lahiri, Sarita Ojha, Riddhick Birbonshi

In this paper, we compute the iterated Aluthge transforms ${\widetilde{C_{\ddot{I}}•}}^{(n)}$ of the composition operator $C_{\ddot{I}}•$ on the weighted Bergman spaces ${\mathcal{A}}_{\hat{I}}{\pm }^2(\mathbb{D})$,…