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A NEW FORMULA WITHOUT BOUNDARY INTEGRALS ON A STEIN MANIFOLD 被引量:1

A NEW FORMULA WITHOUT BOUNDARY INTEGRALS ON A STEIN MANIFOLD
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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 manifold 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. A new Koppelman-Leray-Norguet formula of (p,q) differential forms for a strictly pseudoconvex polyhedron with not necessarily smooth boundary on a Stein manifold 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.
作者 邱春晖
出处 《Acta Mathematica Scientia》 SCIE CSCD 2003年第1期33-40,共8页 数学物理学报(B辑英文版)
基金 Supported by the National Natural Science Foundation and Mathematical "Tian Yuan" Foundation of China and the Natural Science Foundation of Fujian (Grant No. 10271097, TY10126033, F0110012)
关键词 Koppelman-Leray-Norguet formula strictly pseudoconvex polyhedron non-smooth boundary (p q) differential form Stein manifold Koppelman-Leray-Norguet formula, strictly pseudoconvex polyhedron, non-smooth boundary, (p, q) differential form, Stein manifold
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  • 3Qiu Chunhui. The Koppelman-Leray-Norguet formula of type (p, q) on Stein manifolds. Journal of Math- ematical Research and Exposition, 1991, 11(4): 611-618
  • 4Demailly J P, Laurent-Thiebaut C. Formules intégrales pour les formes différentielles de type (p, q) dans les variétés de Stein. Ann Sci E'cole Norm Sup, 1987, 20(4): 579-598
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  • 6Fan Guoxing. Integral representation of the solution of a-equation of (p, q)-form which does not involveintegrals on boundary and its uniform estimates. [Master's thesis]. Xiamen: Xiamen University, 1991

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