| Product and Commutativity of Slant Toeplitz Operators |
| Received:August 07, 2012 Revised:October 12, 2012 |
| Key Words:
Toeplitz operator slant Toeplitz operator product commutativity.
|
| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11271059; 11226120). |
|
| Hits: 3487 |
| Download times: 2490 |
| Abstract: |
| In this paper, the product and commutativity of slant Toeplitz operators are discussed. We show that the product of $k_{1}^{th}$-order slant Toeplitz operators and $k_{2}^{th}$-order slant Toeplitz operators must be a $(k_{1}k_{2})^{th}$-order slant Toeplitz operator except for zero operators, and the commutativity and essential commutativity of two slant Toeplitz operators with different orders are the same. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2013.01.014 |
| View Full Text View/Add Comment |
