The Essential Norm of Composition Operator between Generalized Bloch Spaces in Polydiscs and its Applications

Zehua Zhou, Yan Liu

Let $U^n$ be the unit polydisc of ${\mathbb{C}}^n$ and $\varphi =({\varphi }_1,>...,{\varphi }_n)$ a holomorphic self-map of $U^n.$ By ${\mathcal{B}}^p(U^n)$, ${\mathcal{B}}_0^p(U^n)$ and ${\cal B}^p_{0*}(…