本文主旨在於探討n維平方可積函數空間L2（Tn）上之完全單範直交系統之Weyl乘子問題。我們提出一些滿足算子不等式之系統的一個Weyl乘子，特別地，這個結果推廣了吾人在多重三角或Walsh系統的兩個結果，並有助於一般多重系統的Weyl乘子之解決。

The purpose of this article is to explore a Weyl multiplier for the multiple Fourier series of a certain class of complete orthnormal system. It contains our previous results for a sufficient condition of almost everywhere convergence of the rectangular partial sums for both cases of multiple trignomertric-Fourier series and multiple bounded generalized Walsh-Fourier series.