Acta mathematica scientia,Series B ›› 2021, Vol. 41 ›› Issue (5): 1537-1546.doi: 10.1007/s10473-021-0508-3

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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).

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

CLC Number: 

  • 47B38
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