数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (5): 1537-1546.doi: 10.1007/s10473-021-0508-3

• 论文 • 上一篇    下一篇

THE PRECISE NORM OF A CLASS OF FORELLI-RUDIN TYPE OPERATORS ON THE SIEGEL UPPER HALF SPACE

周立芳1, 樊云1, 卢金2   

  1. 1. Department of Mathematics, Huzhou University, Huzhou 313000, China;
    2. School of Internet, Anhui University, Hefei 230039, China
  • 收稿日期:2020-02-25 修回日期:2021-04-27 出版日期:2021-10-25 发布日期:2021-10-21
  • 通讯作者: Yun FAN E-mail:fanyun@zjhu.edu.cn
  • 作者简介:Lifang ZHOU,E-mail:lfzhou@zjhu.edu.cn;Jin LU,E-mail:lujin@mail.ustc.edu.cn
  • 基金资助:
    The first author was supported by the National Natural Science Foundation of China (11801172, 11771139, 12071130). The second author was supported by the Natural Science Foundation of Zhejiang Province (LQ21A010002). The third author was supported by the Natural Science Foundation of Zhejiang Province (LY20A010007).

THE PRECISE NORM OF A CLASS OF FORELLI-RUDIN TYPE OPERATORS ON THE SIEGEL UPPER HALF SPACE

Lifang ZHOU1, Yun FAN1, Jin LU2   

  1. 1. Department of Mathematics, Huzhou University, Huzhou 313000, China;
    2. School of Internet, Anhui University, Hefei 230039, China
  • Received:2020-02-25 Revised:2021-04-27 Online:2021-10-25 Published:2021-10-21
  • Contact: Yun FAN E-mail:fanyun@zjhu.edu.cn
  • Supported by:
    The first author was supported by the National Natural Science Foundation of China (11801172, 11771139, 12071130). The second author was supported by the Natural Science Foundation of Zhejiang Province (LQ21A010002). The third author was supported by the Natural Science Foundation of Zhejiang Province (LY20A010007).

摘要: The precise Lp norm of a class of Forelli-Rudin type operators on the Siegel upper half space is given in this paper. The main result not only implies the upper Lp norm estimate of the Bergman projection, but also implies the precise Lp norm of the Berezin transform.

关键词: precise Lp norm, Forelli-Rudin type operators, Siegel upper half space, Bergman projection, Berezin transform

Abstract: The precise Lp norm of a class of Forelli-Rudin type operators on the Siegel upper half space is given in this paper. The main result not only implies the upper Lp norm estimate of the Bergman projection, but also implies the precise Lp norm of the Berezin transform.

Key words: precise Lp norm, Forelli-Rudin type operators, Siegel upper half space, Bergman projection, Berezin transform

中图分类号: 

  • 47B38