Toeplitz operators on the fock space

Josh Isralowitz; Kehe Zhu

doi:10.1007/s00020-010-1768-9

Toeplitz operators on the fock space

Mathematics and Statistics

University at Albany

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

80 Scopus citations

Abstract

We study Toeplitz operators on the Fock space with positive measures as symbols. Main results include characterizations of Fock-Carleson measures, bounded Toeplitz operators, compact Toeplitz operators, and Toeplitz operators in the Schatten p-classes.

Original language	English
Pages (from-to)	593-611
Number of pages	19
Journal	Integral Equations and Operator Theory
Volume	66
Issue number	4
DOIs	https://doi.org/10.1007/s00020-010-1768-9
State	Published - Apr 2010

Keywords

Fock space
Schatten class
Toeplitz operator

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10.1007/s00020-010-1768-9

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title = "Toeplitz operators on the fock space",

abstract = "We study Toeplitz operators on the Fock space with positive measures as symbols. Main results include characterizations of Fock-Carleson measures, bounded Toeplitz operators, compact Toeplitz operators, and Toeplitz operators in the Schatten p-classes.",

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author = "Josh Isralowitz and Kehe Zhu",

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AB - We study Toeplitz operators on the Fock space with positive measures as symbols. Main results include characterizations of Fock-Carleson measures, bounded Toeplitz operators, compact Toeplitz operators, and Toeplitz operators in the Schatten p-classes.

KW - Fock space

KW - Schatten class

KW - Toeplitz operator

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JO - Integral Equations and Operator Theory

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Toeplitz operators on the fock space

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Keywords

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