Integral Operators on Fock–Sobolev Spaces via Multipliers on Gauss–Sobolev Spaces

Brett D. Wick; Shengkun Wu

doi:10.1007/s00020-022-02701-8

Integral Operators on Fock–Sobolev Spaces via Multipliers on Gauss–Sobolev Spaces

Brett D. Wick, Shengkun Wu

Department of Mathematics & Statistics

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

5 Scopus citations

Abstract

In this paper, we obtain an isometry between the Fock–Sobolev space and the Gauss–Sobolev space with the same order. As an application, we use multipliers on the Gauss–Sobolev space to characterize the boundedness of an integral operator on the Fock–Sobolev space.

Original language	English
Article number	22
Journal	Integral Equations and Operator Theory
Volume	94
Issue number	2
DOIs	https://doi.org/10.1007/s00020-022-02701-8
State	Published - Jun 2022

Keywords

Fock–Sobolev spaces
Gauss–Sobolev spaces
Integral operators
Multipliers

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10.1007/s00020-022-02701-8

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abstract = "In this paper, we obtain an isometry between the Fock–Sobolev space and the Gauss–Sobolev space with the same order. As an application, we use multipliers on the Gauss–Sobolev space to characterize the boundedness of an integral operator on the Fock–Sobolev space.",

keywords = "Fock–Sobolev spaces, Gauss–Sobolev spaces, Integral operators, Multipliers",

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AU - Wick, Brett D.

AU - Wu, Shengkun

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N2 - In this paper, we obtain an isometry between the Fock–Sobolev space and the Gauss–Sobolev space with the same order. As an application, we use multipliers on the Gauss–Sobolev space to characterize the boundedness of an integral operator on the Fock–Sobolev space.

AB - In this paper, we obtain an isometry between the Fock–Sobolev space and the Gauss–Sobolev space with the same order. As an application, we use multipliers on the Gauss–Sobolev space to characterize the boundedness of an integral operator on the Fock–Sobolev space.

KW - Fock–Sobolev spaces

KW - Gauss–Sobolev spaces

KW - Integral operators

KW - Multipliers

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DO - 10.1007/s00020-022-02701-8

M3 - Article

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JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 2

M1 - 22

ER -

Integral Operators on Fock–Sobolev Spaces via Multipliers on Gauss–Sobolev Spaces

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Keywords

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