摘要
Let M be a Stein manifold of complex dimension n,and let an open set D111CC M have a piecewise C -boundary. Using Chern metric and connection, we obtain an integral representation of (p, q) differential forms on D, which is a generali-zation of the Koppelman-Leray-Norgeut formula for (0,q)-forms on Stein mani-folds. A integral formula for solving the -equation on D is also obtained. Fi-nally, a formula for real non-degenerate strictly pseudoconvex polyhedron is gi-ven .
设M是复n维Stein流形;并设开集DM具有逐块C^1边界.本文利用陈度量和陈联络,把Stein流形上(0,q)形式的Koppelman-Leray-Norguet公式推广到(p,q)形式,并得到D上■-方程的解.最后,还给出了Stein流形上实非退化强拟凸多面体的Koppelman-Leray-Norguet公式及其■-方程的解.
基金
National Natural Science Foundation
