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

9 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)

Access to Document

10.4171/RMI/529

Fingerprint Dive into the research topics of 'Sums of Toeplitz products with harmonic symbols'. Together they form a unique fingerprint.

Cite this

@article{2c8e9f00351a4fb790893f8f5c798dcd,

title = "Sums of Toeplitz products with harmonic symbols",

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.",

keywords = "Bergman space, Finite rank operators, Toeplitz operators",

author = "Choe, {Boo Rim} and Hyungwoon Koo and Lee, {Young Joo}",

year = "2008",

doi = "10.4171/RMI/529",

language = "English",

volume = "24",

pages = "43--70",

journal = "Revista Matematica Iberoamericana",

issn = "0213-2230",

publisher = "Universidad Autonoma de Madrid",

number = "1",

}

TY - JOUR

T1 - Sums of Toeplitz products with harmonic symbols

AU - Choe, Boo Rim

AU - Koo, Hyungwoon

AU - Lee, Young Joo

PY - 2008

Y1 - 2008

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=48249147907&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=48249147907&partnerID=8YFLogxK

U2 - 10.4171/RMI/529

DO - 10.4171/RMI/529

M3 - Article

AN - SCOPUS:48249147907

VL - 24

SP - 43

EP - 70

JO - Revista Matematica Iberoamericana

JF - Revista Matematica Iberoamericana

SN - 0213-2230

IS - 1

ER -