On products of some Toeplitz operators on polyanalytic Fock spaces
Czechoslovak Mathematical Journal (2020)
- Volume: 70, Issue: 2, page 369-379
- ISSN: 0011-4642
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topCasseli, Irène. "On products of some Toeplitz operators on polyanalytic Fock spaces." Czechoslovak Mathematical Journal 70.2 (2020): 369-379. <http://eudml.org/doc/297321>.
@article{Casseli2020,
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.},
author = {Casseli, Irène},
journal = {Czechoslovak Mathematical Journal},
keywords = {polyanalytic function; Toeplitz operator; Fock space; Sarason's problem},
language = {eng},
number = {2},
pages = {369-379},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On products of some Toeplitz operators on polyanalytic Fock spaces},
url = {http://eudml.org/doc/297321},
volume = {70},
year = {2020},
}
TY - JOUR
AU - Casseli, Irène
TI - On products of some Toeplitz operators on polyanalytic Fock spaces
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 2
SP - 369
EP - 379
AB - 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.
LA - eng
KW - polyanalytic function; Toeplitz operator; Fock space; Sarason's problem
UR - http://eudml.org/doc/297321
ER -
References
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