C^n空间中有界域上方程局部解的第Ⅰ型Bochner－Ono公式

TypeⅠBochner-Ono Formula of the Local Solution of Equation on Bounded Domains in C￣n

得到Ｃ~ｎ空间中有界域上光滑函数的一个积分核含有ｎ－ｋ个（０＜ｋ＜ｎ）任意固定点且关于变量ｚ是全纯的积分公式，有别于有界域上光滑函数的Ｂｏｃｈｍｅｒ－Ｏｎｏ公式；由此式可进一步得到有界域上方程局部解的一种积分公式，并在含参数的局部意义下，有简单的一致估计。

The author obtains an integral formula of smooth functions on abounded domain in C￣n,whose kernel involves n-k(0<k<n)arbitrary fixed points andholomorphic with respect to z,which is different from Bochner-Ono formula of smoothfunctions on bounded domains,and is called type Ⅰ Bochner-Ono formula of smooth functionson bounded domains. From this formula one can obtain an integral formula of the localsolution of equation on bounded domains,which is called typeⅠBochner-Ono formula of thelocal solution of equation on bounded domains and has simple uniform estimate in the senseof local parameters.