Sums of Polyanalytic Dual Toeplitz Products

被引：0
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作者：
Hong Rae Cho
Hyungwoon Koo
Young Joo Lee
机构：
[1] Pusan National University,Department of Mathematics
[2] Korea University,Department of Mathematics
[3] Chonnam National University,Department of Mathematics
来源：
Complex Analysis and Operator Theory | 2023年 / 17卷
关键词：
Dual Toeplitz operator; Polyanalytic Bergman space; Sum of products; Compact; Primary 47B35; Secondary 30H20;
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摘要：
On the setting of the orthogonal complement of the polyanalytic Bergman space of the unit disk, we give characterizations of when a sum of products of several dual Toeplitz operators is compact or zero. Our results extend several known results on the Bergman space to polyanalytic Bergman spaces.
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