The Integral Representations and Their Applications on the Analytic Varieties of Bounded Domains in Stein Manifolds  

在Stein流形中有界域的解析簇上积分表示及其应用

作　　者：CHEN Shu-jin 陈叔瑾(School of Mathematical Sciences,Xiamen University,Xiamen 361005,China)

机构地区：[1]School of Mathematical Sciences,Xiamen University,Xiamen 361005,China

出　　处：《Chinese Quarterly Journal of Mathematics》2021年第4期331-355,共25页数学季刊（英文版）

摘　　要：In this paper,we first obtain a unified integral representation on the analytic varieties of the general bounded domain in Stein manifolds(the two types bounded domains in[3]are regarded as its special cases).Secondly we get the integral formulas of the solution of∂-equation.And we use a new and unique method to give a uniform estimate of the solution of∂-equation,which is different from Henkin's method.

关 键 词：∂-equation Uniform estimation General bounded domain Stein manifold Analytic varieties Integral representation 

分 类 号：O174.56[理学—数学]