数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (2): 355-367.doi: 10.1016/S0252-9602(17)30007-3

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APPLICATION OF HOLOMORPHIC INVARIANTS IN REPRODUCING KERNEL

潘利双1,2, 王安2   

  1. 1. School of Mathematics and Physics, Handan University, Handan 056005, China;
    2. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
  • 收稿日期:2015-08-04 修回日期:2016-07-09 出版日期:2017-04-25 发布日期:2017-04-25
  • 作者简介:Lishuang PAN,E-mail:plshuang123@163.com;An WANG,E-mail:wangan@cnu.edu.cn
  • 基金资助:

    This work is supported by the National Natural Science Foundation of China (11371257) and Colleges and Universities Science and Technology Research Foundation of Hebei Province (QN2016304).

APPLICATION OF HOLOMORPHIC INVARIANTS IN REPRODUCING KERNEL

Lishuang PAN1,2, An WANG2   

  1. 1. School of Mathematics and Physics, Handan University, Handan 056005, China;
    2. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
  • Received:2015-08-04 Revised:2016-07-09 Online:2017-04-25 Published:2017-04-25
  • Supported by:

    This work is supported by the National Natural Science Foundation of China (11371257) and Colleges and Universities Science and Technology Research Foundation of Hebei Province (QN2016304).

摘要:

We use holomorphic invariants to calculate the Bergman kernel for generalized quasi-homogeneous Reinhardt-Hartogs domains. In addition, we present a complete orthonormal basis for the Bergman space on bounded Reinhardt-Hartogs domains.

关键词: Generalized quasi-homogeneous domain, Bergman kernel function, holomorphic invariant

Abstract:

We use holomorphic invariants to calculate the Bergman kernel for generalized quasi-homogeneous Reinhardt-Hartogs domains. In addition, we present a complete orthonormal basis for the Bergman space on bounded Reinhardt-Hartogs domains.

Key words: Generalized quasi-homogeneous domain, Bergman kernel function, holomorphic invariant