Algebraic Properties of Toeplitz Operators on the Harmonic Dirichlet Space

作者：Chen, Yong; Lee, Young Joo^*; Quang Dieu Nguyen

来源：Integral Equations and Operator Theory, 2011, 69(2): 183-201.

DOI：10.1007/s00020-010-1822-7

• Toeplitz operator
• harmonic Dirichlet space
• commutativity
• product problem

We study some algebraic properties of Toeplitz operators on the harmonic Dirichlet space of the unit disk. We first give a characterization for boundedness of Toeplitz operators. Next we characterize commuting Toeplitz operators. Also, we study the product problem of when product of two Toeplitz operators is another Toeplitz operator. The corresponding problems for compactness are also studied.

• 出版日期2011-2
• 单位浙江师范大学; 复旦大学