Nφ-type quotient modules on the torus

  title={Nφ-type quotient modules on the torus},
  author={Keiji Izuchi and Rongwei Yang},
Structure of the quotient modules in H(Γ) is very complicated. A good understanding of some special examples will shed light on the general picture. This paper studies the so-called Nφ-type quotient modules, namely, quotient modules of the form H(Γ) [z − φ], where φ(w) is a function in the classical Hardy space H(Γ) and [z −φ] is the submodule generated by z − φ(w). This type of quotient module provides good examples in many studies. A notable fact is its close connections with some classical… CONTINUE READING