Acta mathematica scientia,Series B ›› 2003, Vol. 23 ›› Issue (1): 33-40.

• Articles • Previous Articles     Next Articles

A NEW FORMULA WITHOUT BOUNDARY INTEGRALS ON A STEIN MANIFOLD

 QIU Chun-Hui   

  1. 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)

Abstract:

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.

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

CLC Number: 

  • 32A25
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