广义强非线性拟变分不等式和拟补问题

THE REGULAR VECTOR FUNCTION IN Cn

本文在Ｈｉｌｂｅｒｔ空间中对广义强非线性拟变分不等式和拟补问题证

This paper establishes the Cauchy integral formula of the 2n ─ dimensional regular vector func-tion u(z),satisfying equation defined on the polydesc or the ball . The Poisson integral formular of u(s) defined on the ball is also given . The mean value theorem and infinite differentiability of u(z) are proved on a general domain D . A necessary and sufficient condition of that the Cauchy-type integral of a vector function on Dis the Cauchy integral is given.