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Product and Commutativity of kth-Order Slant Toeplitz Operators

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Indexed by:期刊论文

Date of Publication:2013-01-01

Journal:ABSTRACT AND APPLIED ANALYSIS

Included Journals:SCIE、Scopus

Volume:2013

ISSN No.:1085-3375

Abstract: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.

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