中文摘要：

对单位圆盘的Bergman空间上k阶斜Toeplitz算子的正规性及亚正规性展开了研究,得到了带有调和多项式符号的斜Toeplitz算子是正规的或亚正规的充要条件是其符号函数为零函数.

英文摘要：

The normality and hyponormality of k-order slant Toeplitz operator on the Bergman space are discussed,and obtaining that the necessary and sufficient condition for the normality and hyponormality of k-order slant Toeplitz operator with harmonic polynomial symbol is that its symbol function are zero.