收稿日期: 2021-06-21
网络出版日期: 2021-12-30
The Integral Representations and Their Applications on the Analytic Varieties of Bounded Domains in Stein Manifolds
Received date: 2021-06-21
Online published: 2021-12-30
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 \overline \partial-equationequation. And we use a new and unique method to give a uniform estimate of the solution of \overline \partial-equation, which is different from Henkin’s method.
陈叔瑾 . 在 Stein 流形中有界域的解析簇上积分表示及其应用[J]. 数学季刊, 2021 , 36(4) : 331 -355 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.04.001
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 \overline \partial-equation. And we use a new and unique method to give a uniform estimate of the solution of \overline \partial-equation, which is different from Henkin’s method.
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