Commuting dual Toeplitz operators on the orthogonal complement of the Dirichlet space |
| |
| Authors: | Tao Yu Shi Yue Wu |
| |
| Affiliation: | (1) Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, P. R. China |
| |
| Abstract: | In this paper we characterize commuting dual Toeplitz operators with harmonic symbols on the orthogonal complement of the Dirichlet space in the Sobolev space. We also obtain the sufficient and necessary conditions for the product of two dual Toeplitz operators with harmonic symbols to be a finite rank perturbation of a dual Toeplitz operator. The first author is supported by NNFSC (No. 10771064) |
| |
| Keywords: | Sobolev space Dirichlet space dual Toeplitz operator |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
