Finite rank products of toeplitz operators on the harmonic bergman space

Boo Rim Choe; Hyungwoon Koo; Kyunguk Na

doi:10.1216/RMJ-2011-41-1-45

Finite rank products of toeplitz operators on the harmonic bergman space

Boo Rim Choe, Hyungwoon Koo, Kyunguk Na

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

2 Citations (Scopus)

Abstract

On the harmonic Bergman space of the unit ball in Rⁿ, we show that if the product of Toeplitz operators with harmonic symbols that have certain boundary smoothness has finite rank, then one of the symbols must be identically zero. There are restrictions, caused by our methods, on the number of factors in the product.

Original language	English
Pages (from-to)	45-78
Number of pages	34
Journal	Rocky Mountain Journal of Mathematics
Volume	41
Issue number	1
DOIs	https://doi.org/10.1216/RMJ-2011-41-1-45
Publication status	Published - 2011

Keywords

Finite rank product
Harmonic bergman space
Harmonic symbol
Toeplitz operator

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1216/RMJ-2011-41-1-45

Cite this

@article{252d19de0d7641bf83c27816a7bdf7a9,

title = "Finite rank products of toeplitz operators on the harmonic bergman space",

abstract = "On the harmonic Bergman space of the unit ball in Rn, we show that if the product of Toeplitz operators with harmonic symbols that have certain boundary smoothness has finite rank, then one of the symbols must be identically zero. There are restrictions, caused by our methods, on the number of factors in the product.",

keywords = "Finite rank product, Harmonic bergman space, Harmonic symbol, Toeplitz operator",

author = "Choe, {Boo Rim} and Hyungwoon Koo and Kyunguk Na",

year = "2011",

doi = "10.1216/RMJ-2011-41-1-45",

language = "English",

volume = "41",

pages = "45--78",

journal = "Rocky Mountain Journal of Mathematics",

issn = "0035-7596",

publisher = "Rocky Mountain Mathematics Consortium",

number = "1",

}

TY - JOUR

T1 - Finite rank products of toeplitz operators on the harmonic bergman space

AU - Choe, Boo Rim

AU - Koo, Hyungwoon

AU - Na, Kyunguk

PY - 2011

Y1 - 2011

N2 - On the harmonic Bergman space of the unit ball in Rn, we show that if the product of Toeplitz operators with harmonic symbols that have certain boundary smoothness has finite rank, then one of the symbols must be identically zero. There are restrictions, caused by our methods, on the number of factors in the product.

AB - On the harmonic Bergman space of the unit ball in Rn, we show that if the product of Toeplitz operators with harmonic symbols that have certain boundary smoothness has finite rank, then one of the symbols must be identically zero. There are restrictions, caused by our methods, on the number of factors in the product.

KW - Finite rank product

KW - Harmonic bergman space

KW - Harmonic symbol

KW - Toeplitz operator

UR - http://www.scopus.com/inward/record.url?scp=79953310178&partnerID=8YFLogxK

U2 - 10.1216/RMJ-2011-41-1-45

DO - 10.1216/RMJ-2011-41-1-45

M3 - Article

AN - SCOPUS:79953310178

SN - 0035-7596

VL - 41

SP - 45

EP - 78

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

IS - 1

ER -

Finite rank products of toeplitz operators on the harmonic bergman space

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this