熟知,Cn空间中(0,q)型微分形式的积分表示及其应用已经有许多研究[1−−8],但复流形上的积分表示的研究则始于二十世纪八十年代,目前的成果多数是关于Stein流形的[4,5,9,10,14].上个世纪90年代初B.Berndtsson[11]对一般复流形上的积分表示理论进行了研究,在适当的假设下得到了复流形上相当一般的积分核,并给出复流形上的Koppelman公式. 钟同德[12]在此基础上得到了复流形上具有逐块C1光滑边界的有界域D上(p,q)型微分形式的Koppelman--Leray--Nor...It is well known that the integral representations and their applications for (0,q) differential form in Cn have been deeply studied[1−−8].But the research for integral representations on complex manifolds began in 1980s. Most of the results,so far,are concerned with Stein manifolds[4,5,9,10,14].In the early 1990s,B. Berndtsson[11] studied the theory of integral repr...学位:理学硕士院系专业:数学科学学院数学与应用数学系_基础数学学号:2005130159