A Vanishing Theorem on a Class of Hartogs Domain

作     者：Cheng Chen ZHONG An WANG Li Shuang PAN Cheng Chen ZHONG;An WANG;Li Shuang PAN

作者机构：School of Mathematical SciencesPeking UniversityBeijing 100871P.R.China School of Mathematical SciencesCapital Normal UniversityBeijing 100048P.R.China Science CollegeShijiazhuang UniversityHebei 050035P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2023年第39卷第1期

页      面：1-12页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

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

主　　题：d-bounded vanishing theorem Bergman metric 

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.