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arXiv · 1804.00911

On products of some Toeplitz operators on polyanalytic Fock spaces

Irène Casseli
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Abstract

The purpose of this paper is to study the Sarason's problem on Fock spaces of polyanalytic functions. Namely, given two polyanalytic symbols $f$ and $g$, we establish a necessary and sufficient condition for the boundedness of some Toeplitz products $ T_{f}T_{\bar g}$ subjected to certain restriction on $f$ and $g$. We also characterize this property in terms of the Berezin transform.

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Irène Casseli. 2018-07-12. On products of some Toeplitz operators on polyanalytic Fock spaces. https://arxiv.org/abs/1804.00911

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