Sums of Toeplitz products with harmonic symbols

Boo Rim Choe; Hyungwoon Koo; Young Joo Lee

doi:10.4171/RMI/529

Sums of Toeplitz products with harmonic symbols

Boo Rim Choe, Hyungwoon Koo, Young Joo Lee

Department of Mathematics

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

10 Citations (Scopus)

Abstract

On the Bergman space of the unit disk, we consider a class of operators which contain sums of finitely many Toeplitz products with harmonic symbols. We give characterizations of when an operator in that class has finite rank or is compact. Our results provide a unified way of treating several known results.

Original language	English
Pages (from-to)	43-70
Number of pages	28
Journal	Revista Matematica Iberoamericana
Volume	24
Issue number	1
DOIs	https://doi.org/10.4171/RMI/529
Publication status	Published - 2008

Keywords

Bergman space
Finite rank operators
Toeplitz operators

ASJC Scopus subject areas

Mathematics(all)

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10.4171/RMI/529

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abstract = "On the Bergman space of the unit disk, we consider a class of operators which contain sums of finitely many Toeplitz products with harmonic symbols. We give characterizations of when an operator in that class has finite rank or is compact. Our results provide a unified way of treating several known results.",

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AU - Koo, Hyungwoon

AU - Lee, Young Joo

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AB - On the Bergman space of the unit disk, we consider a class of operators which contain sums of finitely many Toeplitz products with harmonic symbols. We give characterizations of when an operator in that class has finite rank or is compact. Our results provide a unified way of treating several known results.

KW - Bergman space

KW - Finite rank operators

KW - Toeplitz operators

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Sums of Toeplitz products with harmonic symbols

Abstract

Keywords

ASJC Scopus subject areas

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