An inner function which is not weak outer
[Une fonction intérieure qui n'est pas faiblement extérieure]
Doubtsov, Evgueni1
1 Department of Mathematics and Mechanics, St. Petersburg State University, Bibliotechnaya pl. 2, St. Petersburg 198904, Russia
Comptes Rendus. Mathématique, Tome 334 (2002) no. 11, pp. 957-960.

On construit une fonction intérieure I dans la boule unité B⊂ℂ n telle que I(z)≠0 pour z∈B et le sous-espace IHp(B) n'est pas faiblement dense dans la classe de Hardy Hp(B), pour 0<p<1.

We construct a nonvanishing inner function I in the unit ball B⊂ℂ n such that the subspace IHp(B) is not weakly dense in the Hardy space Hp(B), with 0<p<1.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(02)02374-9
Doubtsov, Evgueni 1

1 Department of Mathematics and Mechanics, St. Petersburg State University, Bibliotechnaya pl. 2, St. Petersburg 198904, Russia 
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Doubtsov, Evgueni. An inner function which is not weak outer. Comptes Rendus. Mathématique, Tome 334 (2002) no. 11, pp. 957-960. doi : 10.1016/S1631-073X(02)02374-9. http://www.numdam.org/articles/10.1016/S1631-073X(02)02374-9/

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