UNIFORM ESTIMATES OF SOLUTIONS OF(?)-EQUATION ON STEIN MANIFOLDS

作     者：汤冬梅 邱春晖 钟春平 

作者机构：School of Mathematical Sciences Xiamen University 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2008年第28卷第2期

页      面：441-448页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the National Natural Science Foundation of China(10571144,10771174,10601,040) Program for New Century Excellent Talents in Xiamen University 

主　　题：Stein manifold Hermitian metric Chern connection δ^--equation uniform estimate 

摘      要：By means of the Hermitian metric and Chern connection, Qiu [4] obtained the Koppelman-Leray-Norguet formula for （p, q） differential forms on an open set with C^1 piecewise smooth boundary on a Stein manifold, and under suitable conditions gave the solutions of δ^--equation on a Stein manifold. In this article, using the method of Range and Siu [5], under suitable conditions, the authors complicatedly calculate to give the uniform estimates of solutions of δ^--equation for （p, q） differential forms on a Stein manifold.