[Les espaces de Besov et les projections de Bergman dans la boule]
Nous étudions une class d'opérateurs différentiels radiaux conduisant à une classification naturelle des espaces de Besov diagonaux dans la boule unité de . 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 . 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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@article{CRMATH_2002__335_9_729_0,
author = {H.Turgay Kaptano\u{g}lu},
title = {Besov spaces and {Bergman} projections on the ball},
journal = {Comptes Rendus. Math\'ematique},
pages = {729--732},
publisher = {Elsevier},
volume = {335},
number = {9},
year = {2002},
doi = {10.1016/S1631-073X(02)02556-6},
language = {en},
}
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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