THE EXPLICIT SOLUTIONS OF C_(p,q)^(k+α)-FORM FOR THE -EQUATIONS ON PSEUDOCONVEX OPEN SETS

In this paper, we study the integral solution operators for the -equations on pseudoconvex domains. As a generalization of [1] for the -dequations on pseudoconvex domains with boundary of class C∞, we obtain the explicit integral operator solutions of C -form for the -equations on pseudoconvex open sets with boundary of Ck (k≥0) and the sup-norm estimates of which solutions have similar as that [1] in form.

α-方程的C_(p,q)^(k+α)-形式解及其上确界范数估计

文中研究了－－方程在拟凸域上的积分解算子的性质，得到了－－方程在具Ｃｋ（ｋ≥０）类边界的拟凸开集上的Ｃｋ＋αｐ，ｑ－形式的积分算子解及其解的上确界范数估计。