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

Department of Mathematics

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

Mathematics(all)

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10.1216/RMJ-2011-41-1-45

Cite this

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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.",

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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

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Finite rank products of toeplitz operators on the harmonic bergman space

Abstract

Keywords

ASJC Scopus subject areas

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