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

Atsushi Yamamori

doi:10.1016/j.crma.2012.01.005

Complex Analysis

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

Presented by: Jean-Pierre Demailly

Atsushi Yamamori ¹

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.

Abstract
Résumé

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: 2011-09-20
Accepted: 2012-01-09
Published online: 2012-01-20

DOI: 10.1016/j.crma.2012.01.005

Author's affiliations:

Atsushi Yamamori ¹

¹ Osaka City University Advanced Mathematical Institute, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan

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     author = {Atsushi Yamamori},
     title = {A remark on the {Bergman} kernels of the {Cartan{\textendash}Hartogs} domains},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {157--160},
     publisher = {Elsevier},
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     year = {2012},
     doi = {10.1016/j.crma.2012.01.005},
     language = {en},
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Atsushi Yamamori. 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://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.01.005/

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