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Commutativity of kth‐order slant Toeplitz operators
Authors:Yufeng Lu  Chaomei Liu  Jun Yang
Institution:1. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China;2. Phone: +86411 84708351‐8043, Fax: +86411 84708354
Abstract:In this paper, commutativity of kth‐order slant Toeplitz operators are discussed. We show that commutativity and essential commutativity of two slant Toeplitz operators are the same. Also, we study kth‐order slant Toeplitz operators on the Bergman space L2a(D) and give some commuting properties, algebraic and spectral properties of kth‐order slant Toeplitz operators on the Bergman space (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Toeplitz operator  kth‐order slant Toeplitz operator  commutativity  Bergman space
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