Toeplitz products with pluriharmonic symbols on the Hardy space over the ball

Boo Rim Choe; Hyungwoon Koo; Young Joo Lee

doi:10.1016/j.jmaa.2011.03.023

Toeplitz products with pluriharmonic symbols on the Hardy space over the ball

Boo Rim Choe, Hyungwoon Koo, Young Joo Lee

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

16 Citations (Scopus)

Abstract

On the Hardy space over the unit ball in Cn, we consider operators which have the form of a finite sum of products of several Toeplitz operators. We study characterizing problems of when such an operator is compact or of finite rank. Some of our results show higher-dimensional phenomena.

Original language	English
Pages (from-to)	365-382
Number of pages	18
Journal	Journal of Mathematical Analysis and Applications
Volume	381
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2011.03.023
Publication status	Published - 2011 Sept 1

Bibliographical note

Funding Information:
✩ The first two authors were supported by the Korea Science and Engineering Foundation (KOSEF) grant funded by the Korean Government (MEST) (R01-2008-000-20206-0). The third author was supported by the National Research Foundation of Korea grant funded by the Korean Government (NRF-2010-013-C00005). * Corresponding author. E-mail addresses: [email protected] (B.R. Choe), [email protected] (H. Koo), [email protected] (Y.J. Lee).

Keywords

Hardy space
Pluriharmonic symbol
Toeplitz operator
Zero product

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2011.03.023

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title = "Toeplitz products with pluriharmonic symbols on the Hardy space over the ball",

abstract = "On the Hardy space over the unit ball in Cn, we consider operators which have the form of a finite sum of products of several Toeplitz operators. We study characterizing problems of when such an operator is compact or of finite rank. Some of our results show higher-dimensional phenomena.",

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

note = "Funding Information: ✩ The first two authors were supported by the Korea Science and Engineering Foundation (KOSEF) grant funded by the Korean Government (MEST) (R01-2008-000-20206-0). The third author was supported by the National Research Foundation of Korea grant funded by the Korean Government (NRF-2010-013-C00005). * Corresponding author. E-mail addresses: [email protected] (B.R. Choe), [email protected] (H. Koo), [email protected] (Y.J. Lee).",

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doi = "10.1016/j.jmaa.2011.03.023",

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AU - Choe, Boo Rim

AU - Koo, Hyungwoon

AU - Lee, Young Joo

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N2 - On the Hardy space over the unit ball in Cn, we consider operators which have the form of a finite sum of products of several Toeplitz operators. We study characterizing problems of when such an operator is compact or of finite rank. Some of our results show higher-dimensional phenomena.

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KW - Pluriharmonic symbol

KW - Toeplitz operator

KW - Zero product

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JF - Journal of Mathematical Analysis and Applications

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Toeplitz products with pluriharmonic symbols on the Hardy space over the ball

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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