| WEIGHTED KOPPELMAN－LERAY－NORGUET FORMULAS ON A LOCAL q－CONCAVE WEDGE IN A COMPLEX MANIFOLD |
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| 引用本文： | 邱春晖,姚宗元.WEIGHTED KOPPELMAN－LERAY－NORGUET FORMULAS ON A LOCAL q－CONCAVE WEDGE IN A COMPLEX MANIFOLD[J].数学物理学报(B辑英文版),2003,23(4):531-543. |
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| 作者姓名： | 邱春晖 姚宗元 |
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| 作者单位： | [1]InstituteofMathematics,ChineseAcademyofSciences,Beijing100080,China [2]DevarLmentofMathematics,XiamenUniversity,Xiamen361005,China |
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| 基金项目： | National Natural Science Foundation and Mathematical "Tian Yuan" Foundation of China (10271097 and TY10126033) |
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| 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 intervolation of functions.
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| 关 键 词： | 加权Koppelman-Leray-Norguet公式 复变流形 局部q-凹楔 边界积分 微分型 Leary映射 |
WEIGHTED KOPPELMAN-LERAY-NORGUET FORMULAS ON A LOCAL q-CONCAVE WEDGE IN A COMPLEX MANIFOLD |
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| Qiu Chunhui Yao Zongyuan.WEIGHTED KOPPELMAN-LERAY-NORGUET FORMULAS ON A LOCAL q-CONCAVE WEDGE IN A COMPLEX MANIFOLD[J].Acta Mathematica Scientia,2003,23(4):531-543. |
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| Authors: | Qiu Chunhui Yao Zongyuan |
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| Institution: | Qiu Chunhui Yao Zongyuan
1.Department of Mathematics,Xiamen University,Xiamen 361005,China 2.Jnstitute of Mathematics,Chinese Academy of Sciences,Beijing 100080,China |
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| Abstract: | 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 without 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 g-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. |
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| Keywords: | Complex manifold local q-concave wedge Koppelman-Leray-Norguet formula weight factor |
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