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

作　　者：汤冬梅 邱春晖 钟春平 

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

出　　处：《Acta Mathematica Scientia》2008年第2期441-448,共8页数学物理学报（B辑英文版）

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

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.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.

关 键 词：Stein manifold Hermitian metric Chern connection δ^--equation uniform estimate 

分 类 号：O186.12[理学—数学]