中文摘要：

本文讨论了C^n空间中具有逐块光滑边界约有界域上和强拟凸域上具有拓广约B—M核约（0，q）形式的带权因子的积分表示式，得到了带权因子拓广的Koppelman-Leray—Norguet公式．由此得到了有界域上δ-方程带权因子的连续解，由于权因子的引入，使得积分公式在应用上（如在函数插值问题的应用）具有更大的灵活性．

英文摘要：

In this paper, we obtain an integral representation of extensional Bochner Martinelli kernel with weight factors of （0, q） differential form on bounded domains and strongly pseudoconvex domain with piecewise smooth boundary in C^n, that is, we obtain an extensional Koppelman Leray-Norguet formula with weight factors. Then we obtain the weighted continuous solution of δ-equation on bounded domains, Because of the introduction of weight factors, the applications of integral formula （such as the application of interpolation problem） are much more flexible.