Product and Commutativity of th-Order Slant Toeplitz Operators

Chaomei Liu and Yufeng Lu

Abstract and Applied Analysis, 2013, vol. 2013, 1-11

Abstract:

The commutativity of th-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 th-order slant Toeplitz operators are that their symbol functions are linearly dependent. Also, we study the product of two th-order slant Toeplitz operators and give some necessary and sufficient conditions.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:473916

DOI: 10.1155/2013/473916

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