具有逐片C^1－边界开集上Cauchy－Riemann方程的积分算子解

INTEGRAL SOLUTION OPERATORS FOR THE CAUCHY-RIEMANN EQUATIONS ON AN OPEN SET PIECEWISE C￣1-BOUNDARY

借鉴ＮｉｌｓＯｖｒｅｌｉｄ应用于严格拟凸域的方法，不仅对具有Ｃ￣１——边界的有界开集以及Ｃ￣１——边界的拟凸域上的非齐次Ｃａｕｃｈｙ－Ｒｉｅｍａｎｎ方程进行了讨论，而且给出了它们相应的线性积分算子解和基本估计。

The method of Nils Overlid which he used in strictly pseudoconvex domains are consulted,in this paper,and not only for imhomogeneous Cauahy-Riemann equations on some cases that for boundedopen sets with C￣1-boundary,bounded open sets with piecewise C￣1-boundary,and pseudoconvex domainswith C￣1-boundary are discussed,but also their linear integral operator solution and elementary estimatedare corresponding given.