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

doi:10.1007/s10473-021-0508-3

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

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. 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. 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/Abstract

摘要： The precise L^p 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 L^p norm estimate of the Bergman projection, but also implies the precise L^p norm of the Berezin transform.

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

Abstract: The precise L^p 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 L^p norm estimate of the Bergman projection, but also implies the precise L^p norm of the Berezin transform.

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

中图分类号:

47B38

周立芳, 樊云, 卢金. THE PRECISE NORM OF A CLASS OF FORELLI-RUDIN TYPE OPERATORS ON THE SIEGEL UPPER HALF SPACE[J]. 数学物理学报(英文版), 2021, 41(5): 1537-1546.

Lifang ZHOU, Yun FAN, Jin LU. THE PRECISE NORM OF A CLASS OF FORELLI-RUDIN TYPE OPERATORS ON THE SIEGEL UPPER HALF SPACE[J]. Acta mathematica scientia,Series B, 2021, 41(5): 1537-1546.

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

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

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