在Bergman空间上讨论了以拟齐次函数为符号的Toeplitz算子的乘积问题.使用Mellin变换作为工具,得出了当拟齐次函数的度都为正度时两个Toeplitz算子乘积仍是Toeplitz算子的充分必要条件,完善了以往文献中的有关结果.
This paper concerns the product of Toeplitz operators on the Bergman space with symbols in the quasihomogeneous functions.Toeplitz operators with quasihomogeneous symbol of positive degree are discussed.By using Mellin transform,the necessary and sufficient conditions are given for the product of two Toeplitz operators to be a Toeplitz operator.These results would perfect the relevant ones in the past literature.