Idéaux fermés d'algèbres de Beurling analytiques sur le bidisque

We study the closed ideal in the Beurling algebras $\aA^{+}_{\alpha,\beta}$ of holomorphic function $f$ in the bidisc such that $$\sum\limits_{n,m\geq 0} |\widehat{f}(n,m)|(1+n)^{\alpha}(1+m)^\beta

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Bibliographic Details
Published in:Bulletin des sciences mathématiques 2010-09, Vol.134 (6), p.588-604
Main Authors: Bouya, Brahim, El-Fallah, Omar, Kellay, Karim
Format: Article
Language:fre
Subjects:
Complex Variables
Functional Analysis
Mathematics
Online Access:Get full text
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Summary:We study the closed ideal in the Beurling algebras $\aA^{+}_{\alpha,\beta}$ of holomorphic function $f$ in the bidisc such that $$\sum\limits_{n,m\geq 0} |\widehat{f}(n,m)|(1+n)^{\alpha}(1+m)^\beta
ISSN:0007-4497
DOI:10.1016/j.bulsci.2010.01.005