Abstract: Let $$ \mathbb{D} $$ n denote the unit polydisk and let B n denote the unit ball in $$ \mathbb{C} $$ n , n ≥1. We study weighted composition operators on the α-Bloch spaces $$ {\mathcal{B}^\alpha } $$ ( $$ \mathbb{D} $$ n ), α > 1. We also study Cesàro type operators on the α-Bloch spaces $$ {\mathcal{B}^\alpha } $$ (B n ), α > 0. Bibliography: 15 titles.