BMO and Hankel Operators on Fock-Type Spaces

Xiaofeng Wang; Guangfu Cao; Kehe Zhu

doi:10.1007/s12220-014-9488-z

BMO and Hankel Operators on Fock-Type Spaces

Xiaofeng Wang
, Guangfu Cao
, Kehe Zhu

Mathematics and Statistics

University at Albany

Guangzhou University

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

27 Scopus citations

Abstract

In this paper we consider Hankel operators on a family of Fock-type spaces and characterize their boundedness and compactness in terms of a certain notion of bounded and vanishing mean oscillation. This extends the main results of Seip and Youssfi (J Geom Anal 23:170–201, 2013) to symbol functions that are not necessarily anti-holomorphic. We also give geometric descriptions for the spaces BMO and VMO which were defined in terms of the Berezin transform.

Original language	English
Pages (from-to)	1650-1665
Number of pages	16
Journal	Journal of Geometric Analysis
Volume	25
Issue number	3
DOIs	https://doi.org/10.1007/s12220-014-9488-z
State	Published - Jul 20 2015

Keywords

BMO
Berezin transform
Generalized Fock space
Hankel operator
Toeplitz operator

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10.1007/s12220-014-9488-z

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AU - Cao, Guangfu

AU - Zhu, Kehe

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N2 - In this paper we consider Hankel operators on a family of Fock-type spaces and characterize their boundedness and compactness in terms of a certain notion of bounded and vanishing mean oscillation. This extends the main results of Seip and Youssfi (J Geom Anal 23:170–201, 2013) to symbol functions that are not necessarily anti-holomorphic. We also give geometric descriptions for the spaces BMO and VMO which were defined in terms of the Berezin transform.

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KW - BMO

KW - Berezin transform

KW - Generalized Fock space

KW - Hankel operator

KW - Toeplitz operator

UR - https://www.scopus.com/pages/publications/84931567900

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DO - 10.1007/s12220-014-9488-z

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EP - 1665

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

IS - 3

ER -

BMO and Hankel Operators on Fock-Type Spaces

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Keywords

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