中文摘要：

讨论了单位圆盘上Sobolev空间中解析函数组成的子空间Dirichlet空间上,以拟齐次函数为符号的Toeplitz算子,得到了此类Toeplitz算子的有界性和紧性的等价条件.

英文摘要：

A Dirichlet space is a subspace consisting of analytic functions of a Sobolev space on the unit disc.In this paper,Toeplitz operators on a Dirichlet space with quasihomogeneous symbols are discussed.The necessary and sufficient conditions are given for the boundedness and compactness of a Toeplitz operator.