Modules at boundary points, fiberwise Bergman kernels, and log-subharmonicity II -- on Stein manifolds

Autor: Bao, Shijie, Guan, Qi'an
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: In this article, we consider Bergman kernels related to modules at boundary points on Stein manifolds, and obtain a log-subharmonicity property of the Bergman kernels. As applications, we obtain a lower estimate of weighted $L^2$ integrals on Stein manifolds, and reprove an effectiveness result of strong openness property of modules at boundary points on Stein manifolds.
Comment: 21 pages, some typos are corrected. An appendix is add to show an example for explaining the results we obtain in the present paper
Databáze: arXiv