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).
Author NameAffiliation
Chaomei LIU School of Science, Dalian Jiaotong University, Liaoning 116028, P. R. China 
Yufeng LU School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
Hits: 3360
Download times: 2416
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