Besov spaces and Bergman projections on the ball
[Les espaces de Besov et les projections de Bergman dans la boule]
Comptes Rendus. Mathématique, Tome 335 (2002) no. 9, pp. 729-732.

Nous étudions une class d'opérateurs différentiels radiaux conduisant à une classification naturelle des espaces de Besov diagonaux dans la boule unité de N . Nous donnons les conditions précises pour la bornitude des projections de Bergman de certains espaces Lp sur des espaces de Besov. Nous déterminons aussi des inverses à droite pour ces projections. Nous présentons des applications à l'interpolation complexe.

A class of radial differential operators are investigated yielding a natural classification of diagonal Besov spaces on the unit ball of N . Precise conditions are given for the boundedness of Bergman projections from certain Lp spaces onto Besov spaces. Right inverses for these projections are also provided. Applications to complex interpolation are presented.

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Accepté le :
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DOI : 10.1016/S1631-073X(02)02556-6
Kaptanoğlu, H.Turgay 1

1 Mathematics Department, Middle East Technical University, Ankara 06531, Turkey
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Kaptanoğlu, H.Turgay. Besov spaces and Bergman projections on the ball. Comptes Rendus. Mathématique, Tome 335 (2002) no. 9, pp. 729-732. doi : 10.1016/S1631-073X(02)02556-6. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02556-6/

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