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Toeplitz operators on Bergman spaces of polyanalytic functions (1012.2816v1)
Published 13 Dec 2010 in math.FA and math.CV
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.