Laplace–Carleson Embeddings on Model Spaces and Boundedness of Truncated Hankel and Toeplitz Operators

Jonathan R. Partington; Sandra Pott; Radosław Zawiski

doi:10.1007/s00020-020-02594-5

Laplace–Carleson Embeddings on Model Spaces and Boundedness of Truncated Hankel and Toeplitz Operators

Jonathan R. Partington
, Sandra Pott
, Radosław Zawiski

Department of Automatic Control and Robotics (RAU/RAU3)

University of Leeds
Lund University

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

1 Citation (Scopus)

Abstract

A characterisation is given of bounded embeddings from weighted L² spaces on bounded intervals into L² spaces on the half-plane, induced by isomorphisms given by the Laplace transform onto weighted Hardy and Bergman spaces (Zen spaces). As an application necessary and sufficient conditions are given for the boundedness of truncated Hankel and Toeplitz integral operators, including the weighted case, and on model spaces.

Original language	English
Article number	37
Journal	Integral Equations and Operator Theory
Volume	92
Issue number	4
DOIs	https://doi.org/10.1007/s00020-020-02594-5
Publication status	Published - 1 Aug 2020

Keywords

Admissibility
Bergman space
Carleson measure
Hardy space
Laplace transform
Model space
Truncated Hankel operator
Truncated Toeplitz operator
Zen space

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/s00020-020-02594-5

Cite this

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title = "Laplace{\textendash}Carleson Embeddings on Model Spaces and Boundedness of Truncated Hankel and Toeplitz Operators",

abstract = "A characterisation is given of bounded embeddings from weighted L2 spaces on bounded intervals into L2 spaces on the half-plane, induced by isomorphisms given by the Laplace transform onto weighted Hardy and Bergman spaces (Zen spaces). As an application necessary and sufficient conditions are given for the boundedness of truncated Hankel and Toeplitz integral operators, including the weighted case, and on model spaces.",

keywords = "Admissibility, Bergman space, Carleson measure, Hardy space, Laplace transform, Model space, Truncated Hankel operator, Truncated Toeplitz operator, Zen space",

author = "Partington, \{Jonathan R.\} and Sandra Pott and Rados{\l}aw Zawiski",

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doi = "10.1007/s00020-020-02594-5",

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AU - Partington, Jonathan R.

AU - Pott, Sandra

AU - Zawiski, Radosław

PY - 2020/8/1

Y1 - 2020/8/1

N2 - A characterisation is given of bounded embeddings from weighted L2 spaces on bounded intervals into L2 spaces on the half-plane, induced by isomorphisms given by the Laplace transform onto weighted Hardy and Bergman spaces (Zen spaces). As an application necessary and sufficient conditions are given for the boundedness of truncated Hankel and Toeplitz integral operators, including the weighted case, and on model spaces.

AB - A characterisation is given of bounded embeddings from weighted L2 spaces on bounded intervals into L2 spaces on the half-plane, induced by isomorphisms given by the Laplace transform onto weighted Hardy and Bergman spaces (Zen spaces). As an application necessary and sufficient conditions are given for the boundedness of truncated Hankel and Toeplitz integral operators, including the weighted case, and on model spaces.

KW - Admissibility

KW - Bergman space

KW - Carleson measure

KW - Hardy space

KW - Laplace transform

KW - Model space

KW - Truncated Hankel operator

KW - Truncated Toeplitz operator

KW - Zen space

UR - https://www.scopus.com/pages/publications/85088972139

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DO - 10.1007/s00020-020-02594-5

M3 - Article

AN - SCOPUS:85088972139

SN - 0378-620X

VL - 92

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 4

M1 - 37

ER -

Laplace–Carleson Embeddings on Model Spaces and Boundedness of Truncated Hankel and Toeplitz Operators

Abstract

Keywords

ASJC Scopus subject areas

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