Complex Analysis
A remark on the Bergman kernels of the Cartan–Hartogs domains

Presented by: Jean-Pierre Demailly

Yamamori, Atsushi1
1 Osaka City University Advanced Mathematical Institute, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan
Comptes Rendus. Mathématique, Volume 350 (2012) no. 3-4, pp. 157-160.

We give a new formula for the Bergman kernels of the Cartan–Hartogs domains. As an application of our formula, we study the Lu Qi-Keng problem of the Cartan–Hartogs domains.

Nous obtenons une nouvelle formule pour le noyau de Bergman des domaines de Cartan–Hartogs. Comme application, nous étudions le problème du Lu QiKeng pour les domaines de Cartan–Hartogs.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2012.01.005
Yamamori, Atsushi 1

1 Osaka City University Advanced Mathematical Institute, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan 
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Yamamori, Atsushi. A remark on the Bergman kernels of the Cartan–Hartogs domains. Comptes Rendus. Mathématique, Volume 350 (2012) no. 3-4, pp. 157-160. doi : 10.1016/j.crma.2012.01.005. https://www.numdam.org/articles/10.1016/j.crma.2012.01.005/

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