On products of some Toeplitz operators on polyanalytic Fock spaces
| Autor: | Casseli, Irène |
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| Rok vydání: | 2018 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 11 pages |
| Databáze: | arXiv |
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