摘要
借鉴Bonnean和Diederich最近得到的方法 ,拓广了局部 解积分算子的构造方法 ,并使之用于Cn 中具有逐片Ck 边界的开集上 ,得到了对不全纯依赖于z的Leray映射S(z ,ζ)的Cauchy Riemann方程的积分算子解 .
In view of the method of Bonnean and Diederich in recently, the local construction method of solving integral operators is deveploped even on an open set with piecewise C k boundaries in C n, meanwhile, the solving operators for Leray map S(z,ζ) which do not depends holomorphic on z in Koppelman formula and the integral operator solutins for Cauchy Riemann equation are obtained.
出处
《纯粹数学与应用数学》
CSCD
2000年第1期70-74,共5页
Pure and Applied Mathematics
关键词
积分算子解
柯西-黎曼方程
Koppelman公式
integral solution operators
Cauchy Riemann equation
Koppelman formula with piecewise C k boundaries