Abstract:
Let $\mathbb D^n$ denote the unit polydisc and let $B_n$ denote the unit ball in $\mathbb C^n$, $n\ge1$. We investigate weighted composition operators on the $\alpha$-Bloch spaces $\mathcal B^\alpha(\mathbb D^n)$, $\alpha>1$. Also, we study Cesàro type operators on the $\alpha$-Bloch spaces $\mathcal B^\alpha(B_n)$, $\alpha>0$. Bibl. – 15 titles.