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

作　　者：Lifang ZHOU Yun FAN Jin LU 周立芳;樊云;卢金(Department of Mathematics,Huzhou University,Huzhou 313000,China;School of Internet,Anhui University,Hefei 230039,China)

机构地区：[1]Department of Mathematics,Huzhou University,Huzhou 313000,China [2]School of Internet,Anhui University,Hefei 230039,China

出　　处：《Acta Mathematica Scientia》2021年第5期1537-1546,共10页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(11801172,11771139,12071130);supported by the Natural Science Foundation of Zhejiang Province(LQ21A010002);supported by the Natural Science Foundation of Zhejiang Province(LY20A010007).

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 

分 类 号：O177[理学—数学]