Product and Commutativity of kth-Order Slant Toeplitz Operators
The commutativity of kth-order slant Toeplitz operators with harmonic polynomial symbols, analytic symbols, and coanalytic symbols is discussed. We show that, on the Lebesgue space and Bergman space, necessary and sufficient conditions for the commutativity of kth-order slant Toeplitz operators are...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/473916 |
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| _version_ | 1832556892202729472 |
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| author | Chaomei Liu Yufeng Lu |
| author_facet | Chaomei Liu Yufeng Lu |
| author_sort | Chaomei Liu |
| collection | DOAJ |
| description | The commutativity of kth-order slant Toeplitz operators with harmonic polynomial symbols, analytic symbols, and coanalytic symbols is discussed. We show that, on the Lebesgue space and Bergman space, necessary and sufficient conditions for the commutativity of kth-order slant Toeplitz operators are that their symbol functions are linearly dependent. Also, we study the product of two kth-order slant Toeplitz operators and give some necessary and sufficient conditions. |
| format | Article |
| id | doaj-art-64f93039c6134e0e90d00be083003a5e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-64f93039c6134e0e90d00be083003a5e2025-02-03T05:44:14ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/473916473916Product and Commutativity of kth-Order Slant Toeplitz OperatorsChaomei Liu0Yufeng Lu1School of Science, Dalian Jiaotong University, Dalian 116028, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaThe commutativity of kth-order slant Toeplitz operators with harmonic polynomial symbols, analytic symbols, and coanalytic symbols is discussed. We show that, on the Lebesgue space and Bergman space, necessary and sufficient conditions for the commutativity of kth-order slant Toeplitz operators are that their symbol functions are linearly dependent. Also, we study the product of two kth-order slant Toeplitz operators and give some necessary and sufficient conditions.http://dx.doi.org/10.1155/2013/473916 |
| spellingShingle | Chaomei Liu Yufeng Lu Product and Commutativity of kth-Order Slant Toeplitz Operators Abstract and Applied Analysis |
| title | Product and Commutativity of kth-Order Slant Toeplitz Operators |
| title_full | Product and Commutativity of kth-Order Slant Toeplitz Operators |
| title_fullStr | Product and Commutativity of kth-Order Slant Toeplitz Operators |
| title_full_unstemmed | Product and Commutativity of kth-Order Slant Toeplitz Operators |
| title_short | Product and Commutativity of kth-Order Slant Toeplitz Operators |
| title_sort | product and commutativity of kth order slant toeplitz operators |
| url | http://dx.doi.org/10.1155/2013/473916 |
| work_keys_str_mv | AT chaomeiliu productandcommutativityofkthorderslanttoeplitzoperators AT yufenglu productandcommutativityofkthorderslanttoeplitzoperators |