Geodesic
On products of some Toeplitz operators on polyanalytic Fock spaces
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 2, pp. 369-379

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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.
DOI : 10.21136/CMJ.2019.0334-18
Classification : 30G30, 30H20, 46E22, 47B35
Keywords: polyanalytic function; Toeplitz operator; Fock space; Sarason's problem 
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     title = {On products of some {Toeplitz} operators on polyanalytic {Fock} spaces},
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Casseli, Irène. On products of some Toeplitz operators on polyanalytic Fock spaces. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 2, pp. 369-379. doi: 10.21136/CMJ.2019.0334-18

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