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UNIFORM ESTIMATES OF SOLUTIONS OF δ^--EQUATION ON STEIN MANIFOLDS
引用本文:汤冬梅,邱春晖,钟春平.UNIFORM ESTIMATES OF SOLUTIONS OF δ^--EQUATION ON STEIN MANIFOLDS[J].数学物理学报(B辑英文版),2008,28(2):441-448.
作者姓名:汤冬梅  邱春晖  钟春平
基金项目:Project supported in part by the National Natural Science Foundation of China (10571144, 10771174, 10601040) and Program for New Century Excellent Talents in Xiarnen 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.

关 键 词:δ^--方程式  集合  求解方法  度量

UNIFORM ESTIMATES OF SOLUTIONS OF δ^--EQUATION ON STEIN MANIFOLDS
Tang Dongmei, Qiu Chunhui,Zhong Chunping.UNIFORM ESTIMATES OF SOLUTIONS OF δ^--EQUATION ON STEIN MANIFOLDS[J].Acta Mathematica Scientia,2008,28(2):441-448.
Authors:Tang Dongmei  Qiu Chunhui  Zhong Chunping
Institution:School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
Abstract:Stein manifold, Hermitian metric, Chern connection, δ^--equation, uniform estimate
Keywords:Stein manifold  Hermitian metric  Chern connection  δ^--equation  uniform estimate
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