Hyponormal Toeplitz Operators on Weighted Bergman Space

Published 22 Jan 2020 in math.FA and math.CA | (2001.07823v1)

Abstract: We consider the Toeplitz operator with symbol z^{n+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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Brian Simanek

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