Ranks of commutators of Toeplitz operators on the harmonic Bergman space

作者：Chen Yong; Koo Hyungwoon; Lee Young Joo^*

来源：Integral Equations and Operator Theory, 2013, 75(1): 31-38.

DOI：10.1007/s00020-012-2020-6

• Toeplitz operator
• harmonic Bergman space
• finite rank

We study the rank of commutators of two Toeplitz operators on the harmonic Bergman space of the unit disk. We first show that the commutator of any two Toeplitz operators with general symbols can%26apos;t have an odd rank. But, given any integer n a parts per thousand yen 0, we also show that there are two symbols for which the corresponding Toeplitz operators induce the commutator with rank 2n exactly.

• 出版日期2013-1
• 单位浙江师范大学