2009•Acta Analysis Functionalis ApplicataRequires access

Products of Toeplitz Operators with Quasihomogeneous Symbols on Bergman Space

Xianmin Xu

Abstract

This paper concerns with the product of Toeplitz operators on the Bergman space with symbols in the quasihomogeneous functions.Three cases in terms of the degree of the symbol 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 improve the previous ones.

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Key concepts: Toeplitz matrix, Toeplitz operator, Bergman space, Mathematics, Space (punctuation), Symbol (formal), Product (mathematics), Pure mathematics