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arXiv · 1012.2816

Toeplitz operators on Bergman spaces of polyanalytic functions

Zeljko Cuckovic·Trieu Le
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Abstract

We study algebraic properties of Toeplitz operators on Bergman spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators of Toeplitz operators with harmonic symbols. We also raise and discuss some open questions.

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Zeljko Cuckovic, Trieu Le. 2010-12-13. Toeplitz operators on Bergman spaces of polyanalytic functions. https://doi.org/10.1112/blms%2Fbds024

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