WEIGHTED KOPPELMAN-LERAY-NORGUET FRMULAS ON A LOCAL q-CONCAVE WEDGE IN A COMPLEX MANIFOLD

数学物理学报(英文版) ›› 2003, Vol. 23 ›› Issue (4): 531-.

WEIGHTED KOPPELMAN-LERAY-NORGUET FRMULAS ON A LOCAL q-CONCAVE WEDGE IN A COMPLEX MANIFOLD

邱春晖, 姚宗元

1.Department of Mathematics, Xiamen University, Xiamen 361005, China
2.Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China

出版日期:2003-10-06 发布日期:2003-10-06
基金资助:
Project supported by the National Natural Science Foundation and Mathematical
“Tian Yuan” Foundation of China (10271097 and TY10126033)

WEIGHTED KOPPELMAN-LERAY-NORGUET
FORMULAS ON A LOCAL q-CONCAVE WEDGE
IN A COMPLEX MANIFOLD

QIU Chun-Hui, TAO Zong-Yuan

1.Department of Mathematics, Xiamen University, Xiamen 361005, China
2.Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China

Online:2003-10-06 Published:2003-10-06
Supported by:
Project supported by the National Natural Science Foundation and Mathematical
“Tian Yuan” Foundation of China (10271097 and TY10126033)

摘要/Abstract

摘要：

A weighted Koppelman-Leray-Norguet formula of (r, s) differential forms on
a local q-concave wedge in a complex manifold is obtained. By constructing the new
weighted kernels, the authors give a new weighted Koppelman-Leray-Norguet formula with-
out boundary integral of (r, s) differential forms, which is different from the classical one.
The new weighted formula is especially suitable for the case of the local q-concave wedge
with a non-smooth boundary, so one can avoid complex estimates of boundary integrals
and the density of integral may be not defined on the boundary but only in the domain.
Moreover, the weighted integral formulas have much freedom in applications such as in the
interpolation of functions.

关键词: Complex manifold, local q-concave wedge, Koppelman-Leray-Norguet for-
mula, weight factor

Abstract:

Key words: Complex manifold, local q-concave wedge, Koppelman-Leray-Norguet for-
mula, weight factor

中图分类号:

32A25

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-.

QIU Chun-Hui, TAO Zong-Yuan. WEIGHTED KOPPELMAN-LERAY-NORGUET
FORMULAS ON A LOCAL q-CONCAVE WEDGE
IN A COMPLEX MANIFOLD[J]. Acta mathematica scientia,Series B, 2003, 23(4): 531-.

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