A Survey of Operator Theory in the Hardy Space over the Bidisc

A brief survey on operator theory in $H^2(\mathbb D^2)$

This survey aims to give a brief introduction to operator theory in the hardyspace over the bidisc.It focuses primarily on two pairs of commuting operators that are naturally associated with invariant subspaces (or submodules) in connection between operator-theoretic properties of the pairs and the structure of the invariant subspaces is the main subject.