Abstract
In this note we describe centralizers of Toeplitz operators with polynomial symbols on the Bergman space. As a consequence it is shown that if an element of the norm closed algebra generated by all Toeplitz operators commutes with a Toeplitz operator of a nonconstant polynomial, then this element is a Toeplitz operator of a holomorphic function.
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Communicated by Daniel Aron Alpay, Ph.D.
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Tikaradze, A. Centralizers of Toeplitz Operators with Polynomial Symbols. Complex Anal. Oper. Theory 6, 1275–1279 (2012). https://doi.org/10.1007/s11785-011-0150-5
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DOI: https://doi.org/10.1007/s11785-011-0150-5