2007/07/25 by Keiji Izuchi, Rongwei Yang, Izuchi, Keiji +1
Mathematics · #46E20 #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Functional Analysis (math.FA) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.0707.3801
openalex publication_date 2007/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 H2(\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.