A Vanishing Theorem on a Class of Hartogs Domain  

作　　者：Cheng Chen ZHONG An WANG Li Shuang PAN 

机构地区：[1]School of Mathematical Sciences,Peking University,Beijing 100871,P.R.China [2]School of Mathematical Sciences,Capital Normal University,Beijing 100048,P.R.China [3]Science College,Shijiazhuang University,Hebei 050035,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2023年第1期1-12,共12页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11871044);Natural Science Foundation of Hebei Province(Grant No.A201906037)。

摘　　要：In this paper,we consider the d-boundedness of the Bergman metric and a vanishing theorem of L2-cohomology on a class of Hartogs domain,whose base domain is the production of two irreducible bounded symmetric domains of the first type,by using the Bergman kernel function,invariant function,holomorphic automorphism group and so on.

关 键 词：d-bounded vanishing theorem Bergman metric 

分 类 号：O17[理学—数学]