$N_{\p}$-type quotient modules on the torus
| dc.creator | Izuchi, Keiji | |
| dc.creator | Yang, Rongwei | |
| dc.date | 2007-07-25 | |
| dc.date.accessioned | 2026-07-07T08:20:16Z | |
| dc.date.available | 2026-07-07T08:20:16Z | |
| dc.description | Structure of the quotient modules in $\hh$ is very complicated. A good understanding of some special examples will shed light on the general picture. This paper studies the so-call $N_{\p}$-type quotient modules, namely, quotient modules of the form $\hh\ominus [z-\p]$, where $\p (w)$ is a function in the classical Hardy space $H^2(\G)$ and $[z-\p]$ is the submodule generated by $z-\p (w)$. This type of quotient modules serve as good examples in many studies. A notable feature of the $N_{\p}$-type quotient module is its close connections with some classical single variable operator theories. | |
| dc.identifier | https://arxiv.org/abs/0707.3801 | |
| dc.identifier | http://arxiv.org/abs/0707.3801 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135023 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46E20 | |
| dc.title | $N_{\p}$-type quotient modules on the torus | |
| dc.type | text |