Composition operators on the Bloch space of several complex variables (Q1569956)

Let \(\Omega\) be a homogeneous bounded domain in \({\mathbb C}^n\). For any \(\phi\in Hol(\Omega, \Omega)\) and \(f\in Hol(\Omega)\), denote \(C_\phi f:=f\circ \phi\) and call \(C_\phi\) the composition operator induced by \(\phi\). The authors obtain the necessary and sufficient conditions for \(C_\phi\) to be compact on the Bloch space \(\beta(B_n)\) or the little Bloch space \(\beta_0(B_n)\).