Compactness of composition operators on the Bergman space of the bidisc

Timothy G. Clos, Zeljko Cuckovic, Sonmez Sahutoglu

Let $\phi$ be a holomorphic self map of the bidisc that is Lipschitz on the closure. We show that the composition operator $C_{\phi }$ is compact on the Bergman space if and only if $φ(\ove…