Hyponormal Toeplitz Operators on Weighted Bergman Space

2020/01/22 by Brian Simanek, Simanek, Brian
Mathematics · #Holomorphic and Operator Theory #Algebraic and Geometric Analysis #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2001.07823

Abstract

We consider the Toeplitz operator with symbol zⁿ+C|z|^s acting on certain weighted Bergman spaces and determine for what values of the constant C this operator is hyponormal. The condition is presented in terms of the norm of an explicit block Jacobi matrix.

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