On Products of Some Toeplitz Operators on Polyanalytic Fock Spaces

被引：0
|
作者：
Irène Casseli
机构：
[1] Aix-Marseille Université,I2M UMR CNRS 7373
来源：
Czechoslovak Mathematical Journal | 2020年 / 70卷
关键词：
polyanalytic function; Toeplitz operator; Fock space; Sarason’s problem; 47B35; 30H20; 30G30; 46E22;
D O I：
暂无
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学科分类号：
摘要：
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 TfTḡ subjected to certain restriction on f and g. We also characterize this property in terms of the Berezin transform.
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页码：369 / 379
页数：10
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