Sums of Polyanalytic Dual Toeplitz Products

Hong Rae Cho; Hyungwoon Koo; Young Joo Lee

doi:10.1007/s11785-023-01424-x

Sums of Polyanalytic Dual Toeplitz Products

Hong Rae Cho, Hyungwoon Koo, Young Joo Lee^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Article number	115
Journal	Complex Analysis and Operator Theory
Volume	17
Issue number	7
DOIs	https://doi.org/10.1007/s11785-023-01424-x
Publication status	Published - 2023 Oct

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

Compact
Dual Toeplitz operator
Polyanalytic Bergman space
Sum of products

ASJC Scopus subject areas

Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

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10.1007/s11785-023-01424-x

Cite this

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title = "Sums of Polyanalytic Dual Toeplitz Products",

abstract = "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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doi = "10.1007/s11785-023-01424-x",

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AU - Cho, Hong Rae

AU - Koo, Hyungwoon

AU - Lee, Young Joo

PY - 2023/10

Y1 - 2023/10

N2 - 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.

AB - 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.

KW - Compact

KW - Dual Toeplitz operator

KW - Polyanalytic Bergman space

KW - Sum of products

UR - https://www.scopus.com/pages/publications/85173970214

U2 - 10.1007/s11785-023-01424-x

DO - 10.1007/s11785-023-01424-x

M3 - Article

AN - SCOPUS:85173970214

SN - 1661-8254

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JO - Complex Analysis and Operator Theory

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ER -

Sums of Polyanalytic Dual Toeplitz Products

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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