Toeplitz operators on Bergman spaces of polyanalytic functions

Details Toeplitz operators on Bergman spaces of polyanalytic functions Toeplitz operators on Bergman spaces of polyanalytic functions

2010-12-13

arxiv.org/abs/1012.2816v1

Mathematics

Functional Analysis

15 pages

Scientific paper

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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