Besov spaces and Bergman projections on the ball

H.Turgay Kaptanoğlu

doi:10.1016/S1631-073X(02)02556-6

Besov spaces and Bergman projections on the ball
[Les espaces de Besov et les projections de Bergman dans la boule]

H.Turgay Kaptanoğlu ¹

¹ Mathematics Department, Middle East Technical University, Ankara 06531, Turkey

Comptes Rendus. Mathématique, Volume 335 (2002) no. 9, pp. 729-732.

Abstract (VO)
Résumé

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

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

Reçu le : 2002-09-02
Accepté le : 2002-09-13
Publié le : 2002-10-01

DOI : 10.1016/S1631-073X(02)02556-6

Affiliations des auteurs :

H.Turgay Kaptanoğlu ¹

¹ Mathematics Department, Middle East Technical University, Ankara 06531, Turkey

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H.Turgay Kaptanoğlu. Besov spaces and Bergman projections on the ball. Comptes Rendus. Mathématique, Volume 335 (2002) no. 9, pp. 729-732. doi : 10.1016/S1631-073X(02)02556-6. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02556-6/

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