Comptes Rendus
no. 4
Analyse mathématique
Idéaux fermés de certaines algèbres de fonctions analytiques
[Closed ideals in some algebras of analytic functions]
Presented by: Jean-Pierre Kahane
Brahim Bouya 1
1 Département de mathématiques, université Mohamed V, BP 1014, Rabat, Maroc
Comptes Rendus. Mathématique, Volume 343 (2006) no. 4, pp. 235-238

Nous donnons une caractérisation complète des idéaux fermés de l'algèbre D∩lipα, 0<α⩽12, où D est l'espace de Dirichlet et lipα est l'algèbre de fonctions analytiques vérifiant la condition de Lipschitz d'ordre α.

We obtain a complete description of closed ideals of the algebra D∩lipα, 0<α⩽12, where D is the Dirichlet space and lipα is the algebra of analytic functions satisfying the Lipschitz condition of order α.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2006.06.021

Brahim Bouya  1

1 Département de mathématiques, université Mohamed V, BP 1014, Rabat, Maroc 
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Brahim Bouya. Idéaux fermés de certaines algèbres de fonctions analytiques. Comptes Rendus. Mathématique, Volume 343 (2006) no. 4, pp. 235-238. doi: 10.1016/j.crma.2006.06.021

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[4] K. Hoffman Banach Spaces of Analytic Functions, Dover Publications Inc., New York, 1988 (Reprint of the 1962 original)

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[7] F.A. Shamoyan Closed ideals in algebras of functions that are analytic in the disk and smooth up to its boundary, Mat. Sb., Volume 79 (1994) no. 2, pp. 425-445

[8] N.A. Shirokov Analytic Functions Smooth up to the Boundary, Lecture Notes in Mathematics, vol. 1312, Springer-Verlag, Berlin, 1988

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