2008•Journal of Jiaxing UniversityRequires access

Toeplitz Operators with Quasihomogeneous Symbols of Positive Degree

Xianmin Xu

Abstract

This paper concerns the product of Toeplitz operators on the Bergman space with symbols in the quasihomogeneous functions.Toeplitz operators with quasihomogeneous symbol of positive degree are discussed.By using Mellin transform,the necessary and sufficient conditions are given for the product of two Toeplitz operators to be a Toeplitz operator.These results would perfect the relevant ones in the past literature.

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Key concepts: Toeplitz matrix, Toeplitz operator, Mathematics, Degree (music), Symbol (formal), Levinson recursion, Product (mathematics), Operator (biology)