Factorization for bounded analytic functions in the unit disk and an application to prime ideals

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2006Publisher:Det Kgl. Bibliotek/Royal Danish LibraryJournal:MATHEMATICA SCANDINAVICA, volume 99, page 168 (issn: 0025-5521, eissn: 1903-1807,

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Authors: Raymond Mortini;

doi: 10.7146/math.scand.a-15007

Factorization for bounded analytic functions in the unit disk and an application to prime ideals

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Abstract

We prove several factorization theorems for bounded analytic functions in the open unit disk and present a very simple new proof of two conjectures of Frank Forelli and the author on the structure of finitely generated, respectively countably generated prime ideals in $H^{\infty}$.

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