中文摘要：

给出了Dirichlet空间上一个Toeplitz算子的共轭算子与另一个Toeplitz算子的乘积仍为Toeplitz算子的刻画.并得到了Dirichlet空间上一个Toeplitz算子的共轭算子与另一个Toeplitz算子的乘积为零算子的充要条件.

英文摘要：

It is studied that the product of the adjoint of a Toeplitz operator and another Toeplitz operator can be a Toeplitz operator on the Dirichlet space under some conditions.As a corollary,we show that on the Dirichlet space,the zero product of the adjoint of a Toeplitz operator and another Toeplitz operator holds only for trivial symbols.