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Symbols of truncated Toeplitz operators. / Baranov, Anton; Bessonov, Roman; Kapustin, Vladimir.

In: Journal of Functional Analysis, Vol. 261, No. 12, 2011, p. 3437-3456.

Research output: Contribution to journal › Article

Harvard

Baranov, A, Bessonov, R & Kapustin, V 2011, 'Symbols of truncated Toeplitz operators', Journal of Functional Analysis, vol. 261, no. 12, pp. 3437-3456. https://doi.org/doi:10.1016/j.jfa.2011.08.005

APA

Baranov, A., Bessonov, R., & Kapustin, V. (2011). Symbols of truncated Toeplitz operators. Journal of Functional Analysis, 261(12), 3437-3456. https://doi.org/doi:10.1016/j.jfa.2011.08.005

Vancouver

Baranov A, Bessonov R, Kapustin V. Symbols of truncated Toeplitz operators. Journal of Functional Analysis. 2011;261(12):3437-3456. https://doi.org/doi:10.1016/j.jfa.2011.08.005

Author

Baranov, Anton ; Bessonov, Roman ; Kapustin, Vladimir. / Symbols of truncated Toeplitz operators. In: Journal of Functional Analysis. 2011 ; Vol. 261, No. 12. pp. 3437-3456.

BibTeX

@article{2fa043f33b56478b89574a4163409571,
title = "Symbols of truncated Toeplitz operators",
abstract = "We consider three topics connected with coinvariant subspaces of the backward shift operator in Hardy spaces $H^p$: – properties of truncated Toeplitz operators; – Carleson-type embedding theorems for the coinvariant subspaces; – factorizations of pseudocontinuable functions from $H^1$. These problems turn out to be closely connected and even, in a sense, equivalent. The new approach based on the factorizations allows us to answer a number of challenging questions about truncated Toeplitz operators posed by D. Sarason.",
keywords = "Model space, Inner function, Toeplitz operator, Carleson measure",
author = "Anton Baranov and Roman Bessonov and Vladimir Kapustin",
year = "2011",
doi = "doi:10.1016/j.jfa.2011.08.005",
language = "English",
volume = "261",
pages = "3437--3456",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Elsevier",
number = "12",

}

RIS

TY - JOUR

T1 - Symbols of truncated Toeplitz operators

AU - Baranov, Anton

AU - Bessonov, Roman

AU - Kapustin, Vladimir

PY - 2011

Y1 - 2011

N2 - We consider three topics connected with coinvariant subspaces of the backward shift operator in Hardy spaces $H^p$: – properties of truncated Toeplitz operators; – Carleson-type embedding theorems for the coinvariant subspaces; – factorizations of pseudocontinuable functions from $H^1$. These problems turn out to be closely connected and even, in a sense, equivalent. The new approach based on the factorizations allows us to answer a number of challenging questions about truncated Toeplitz operators posed by D. Sarason.

AB - We consider three topics connected with coinvariant subspaces of the backward shift operator in Hardy spaces $H^p$: – properties of truncated Toeplitz operators; – Carleson-type embedding theorems for the coinvariant subspaces; – factorizations of pseudocontinuable functions from $H^1$. These problems turn out to be closely connected and even, in a sense, equivalent. The new approach based on the factorizations allows us to answer a number of challenging questions about truncated Toeplitz operators posed by D. Sarason.

KW - Model space

KW - Inner function

KW - Toeplitz operator

KW - Carleson measure

U2 - doi:10.1016/j.jfa.2011.08.005

DO - doi:10.1016/j.jfa.2011.08.005

M3 - Article

VL - 261

SP - 3437

EP - 3456

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 12

ER -

ID: 5235598