中文摘要：

考虑的是多圆柱上的H^2Corona问题．将多圆柱上的问题转化到单位圆盘上，利用单位圆盘上的H^2Hardy空间，定义出一个算子．在证明此算子有界的情况下，利用Hahn—Banach定理及Reize表示找到了5方程的解，并且给出了此解的范数估计．

英文摘要：

This paper deals with the H^2 Corona problem in the Polydise. The problem of Polydise is transformed into that of unit disk and an operator by H^2 Hardy space is defined in the unit disk. This operator proves bounded, and Hahn-Banaeh Theorem and Reize representation are adopted to solve the equation. Furthermore, the estimate of the solution is given.