典型文献
A Kind of Integral Representation on Complex Manifold
文献摘要：
In this paper,by using the Hermitian metric and Chern connection,we study the case of a strictly pseudoconvex domain G with non-smooth boundaries in a complex manifold.By constructing a new integral kernel,we obtain a new Koppelman-Leray-Norguet formula of type(p,q)on G,and get the continuous solutions of(?)-equations on G under a suitable condition.The new formula doesn't involve integrals on the boundary,thus one can avoid complex estimations of the boundary integrals,and the density of integral may be not defined on the boundary but only in the domain.As some applications,we discuss the Koppelman-Leray-Norguet formula of type(p,q)for general strictly pseudoconvex polyhedrons(unnecessarily non-degenerate)on Stein manifolds,also get the continuous solutions of(?)-equations under a suitable condition.
文献关键词：
中图分类号：
作者姓名：
Teqing Chen;Zhiwei Li
作者机构：
School of Information Management,Minnan University of Science and Technology,Shishi 362700,China;School of Mathematics and Computer Science,Quanzhou Normal University,Quanzhou 362000,China
文献出处：
引用格式：
[1]Teqing Chen;Zhiwei Li-.A Kind of Integral Representation on Complex Manifold)[J].数学研究（英文）,2022(01):95-108
A类：
pseudoconvex,Koppelman,Norguet,unnecessarily
B类：
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AB值：
0.537791
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