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

Katedra Automatyki i Robotyki (RAU/RAU3)

University of Leeds
Lund University

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

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.

Język oryginału	angielski
Numer artykułu	37
Czasopismo	Integral Equations and Operator Theory
Tom	92
Numer wydania	4
Identyfikatory DOI	https://doi.org/10.1007/s00020-020-02594-5
Status publikacji	Opublikowano - 1 sie 2020

Obszary tematyczne ASJC Scopus

Analiza
Algebra i teoria liczb

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10.1007/s00020-020-02594-5

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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",

note = "Publisher Copyright: {\textcopyright} 2020, The Author(s).",

year = "2020",

month = aug,

day = "1",

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

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T1 - Laplace–Carleson Embeddings on Model Spaces and Boundedness of Truncated Hankel and Toeplitz Operators

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

U2 - 10.1007/s00020-020-02594-5

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

Abstrakt

Obszary tematyczne ASJC Scopus

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