[1]李志伟,陈特清.C~n空间中具有非光滑边界强拟凸域上Koppelman-Leray-Norguet公式的拓广式[J].华侨大学学报(自然科学版),2008,29(3):459-463.[doi:10.11830/ISSN.1000-5013.2008.03.0459]
　LI Zhi-wei,CHEN Te-qing.Extension Formula of Koppelman-Leray-Norguet Formula on a Strictly Pseudoconvex Domain with Non-Smooth Boundary in Cn Space[J].Journal of Huaqiao University(Natural Science),2008,29(3):459-463.[doi:10.11830/ISSN.1000-5013.2008.03.0459]
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C~n空间中具有非光滑边界强拟凸域上Koppelman-Leray-Norguet公式的拓广式()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第29卷
期数:
2008年第3期
页码:
459-463
栏目:
出版日期:
2008-07-20

文章信息/Info

Title:
Extension Formula of Koppelman-Leray-Norguet Formula on a Strictly Pseudoconvex Domain with Non-Smooth Boundary in Cn Space
文章编号:
1000-5013(2008)03-0459-05
作者:
李志伟; 陈特清
泉州师范学院数学系; 厦门大学数学科学学院 福建泉州362000; 福建厦门361005
Author(s):
LI Zhi-wei1;  CHEN Te-qing2
1.Department of Mathematics, Quanzhou Normal University, Quanzhou 362000, China; 2.School of Mathematical Science, Xiamen University, Xiamen 361005, China
关键词:
强拟凸域;  非光滑边界;  Koppelman-Leray-Norguet公式;  拓广式;  -方程
Keywords:
strictly pseudoconvex domain;  non-smooth boundary;  Koppelman-Leray-Norguet formula;  extension formula;  -equation
分类号:
O174.5
DOI:
10.11830/ISSN.1000-5013.2008.03.0459
文献标志码:
A
摘要:
利用Laurent-Thiebaut等引进的ΓK流形,构造拓广的B-M(Bochner-Matinelli)新核,探究Cn空间中具有非光滑边界强拟凸域上Koppelman-Leray-Norguet公式的拓广式和-方程的连续解.其结果的特点是不含边界积分,从而避免了边界积分的复杂估计.
Abstract:
By meams of ΓK manifolds introduced by Laurent-Thiebaut,et al,we constructed extend B-M(Bochner-Matinelli) kernel to study extension formula of Koppelman-Leray-Norguet formula and obtained a continuous solutions of -equation on a strictly pseudoconvex domain with non-smooth boundary in Cn space.Our method does not involve integral on boundary that can avoid the complexity estimations of the boundary integrals.

参考文献/References:

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备注/Memo

备注/Memo:
国家自然科学基金资助项目(10771144)
更新日期/Last Update: 2014-03-23