Zero sums of dual Toeplitz products on the orthogonal complements of the polyanalytic Fock space

被引：0

作者：

Cho, Hong Rae ^{[1
]}

Koo, Hyungwoon ^{[2
]}

Lee, Young Joo ^{[3
]}

机构：

[1] Pusan Natl Univ, Dept Math, Pusan 46241, South Korea

[2] Korea Univ, Dept Math, Seoul 02841, South Korea

[3] Chonnam Natl Univ, Dept Math, Gwangju 61186, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 532卷 / 02期

关键词：

Dual Toeplitz operator; Polyanalytic Fock space; BERGMAN SPACES; OPERATORS;

D O I：

10.1016/j.jmaa.2023.127914

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider dual Toeplitz operators on the orthogonal complement of the polyanalytic Fock space of the complex plane. We characterize the zero sum of products of two dual Toeplitz operators with harmonic symbols. Our results extend several known results on the analytic Fock space to every polyanalytic Fock spaces. (c) 2023 Elsevier Inc. All rights reserved.

引用

页数：19

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