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The Koppelman-Leray-Norguet formula for strictly pseudoconvex domain with non-smooth boundary on complex manifold and its applications

Abstract

熟知,Cn\mathbf{C}^{n}空间中(0,q)(0,q)型微分形式的积分表示及其应用已经有许多研究[18]^{[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]^{[4,5,9,10,14]}.上个世纪90年代初B.Berndtsson[11]^{[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]^{[12]}在此基础上得到了复流形上具有逐块C1C^{1}光滑边界的有界域DD(p,q)(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)(0,q) differential form in Cn\mathbf{C}^{n} have been deeply studied[18]^{[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]^{[4,5,9,10,14]}.In the early 1990s,B. Berndtsson[11]^{[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

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