A NEW FORMULA WITHOUT BOUNDARY INTEGRALS ON A STEIN MANIFOLD

数学物理学报(英文版) ›› 2003, Vol. 23 ›› Issue (1): 33-40.

A NEW FORMULA WITHOUT BOUNDARY INTEGRALS ON A STEIN MANIFOLD

邱春晖

Department of Mathematics, Xiamen University, Xiamen 361005, China

出版日期:2003-01-06 发布日期:2003-01-06
基金资助:
Supported by the National Natural Science Foundation and Mathematical “TianYuan” Foundation of China and the Natural Science Foundation of Fujian (Grant No. 10271097, TY10126033,F0110012)

A NEW FORMULA WITHOUT BOUNDARY INTEGRALS ON A STEIN MANIFOLD

QIU Chun-Hui

Department of Mathematics, Xiamen University, Xiamen 361005, China

Online:2003-01-06 Published:2003-01-06
Supported by:
Supported by the National Natural Science Foundation and Mathematical “TianYuan” Foundation of China and the Natural Science Foundation of Fujian (Grant No. 10271097, TY10126033,F0110012)

摘要/Abstract

摘要：

A new Koppelman-Leray-Norguet formula of (p, q) differential forms for a strictly pseudoconvex polyhedron with not necessarily smooth boundary on a Stein man-ifold is obtained, and an integral representation for the solution of @-equation on this domain which does not involve integrals on boundary is given, so one can avoid complex estimates of boundary integrals.

关键词: Koppelman-Leray-Norguet formula, strictly pseudoconvex polyhedron, non-smooth boundary, (p, q) differential form, Stein manifold

Abstract:

Key words: Koppelman-Leray-Norguet formula, strictly pseudoconvex polyhedron, non-smooth boundary, (p, q) differential form, Stein manifold

中图分类号:

32A25

邱春晖. A NEW FORMULA WITHOUT BOUNDARY INTEGRALS ON A STEIN MANIFOLD[J]. 数学物理学报(英文版), 2003, 23(1): 33-40.

QIU Chun-Hui. A NEW FORMULA WITHOUT BOUNDARY INTEGRALS ON A STEIN MANIFOLD[J]. Acta mathematica scientia,Series B, 2003, 23(1): 33-40.

[1]	陈吕萍, 林良裕. PLEMELJ FORMULA OF CAUCHY TYPE INTEGRAL ON STEIN MANIFOLDS[J]. 数学物理学报(英文版), 2005, 25(4): 647-657.
[2]	邱春晖, 姚宗元. WEIGHTED KOPPELMAN-LERAY-NORGUET FRMULAS ON A LOCAL q-CONCAVE WEDGE IN A COMPLEX MANIFOLD[J]. 数学物理学报(英文版), 2003, 23(4): 531-.
[3]	钱涛, 钟同德. THE DIFFERENTIAL INTEGRAL EQUATIONS ON SMOTH CLOSED ORIENTABLE MANIFOLDS[J]. 数学物理学报(英文版), 2001, 21(1): 1-8.

A NEW FORMULA WITHOUT BOUNDARY INTEGRALS ON A STEIN MANIFOLD

A NEW FORMULA WITHOUT BOUNDARY INTEGRALS ON A STEIN MANIFOLD

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