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Analytic approximation in $L^p$ and coinvariant subspaces of the Hardy space. / Bessonov, R.V.

In: Journal of Approximation Theory, Vol. 174, 2013, p. 558-572.

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Bessonov, R.V. / Analytic approximation in $L^p$ and coinvariant subspaces of the Hardy space. In: Journal of Approximation Theory. 2013 ; Vol. 174. pp. 558-572.

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@article{b7278e843372436eb79bc1d589d0ee47,
title = "Analytic approximation in $L^p$ and coinvariant subspaces of the Hardy space",
abstract = "We generalize a classical result by A.Macintyre and W.Rogosinski on best $H^p$-approximation in $L^p$ of rational functions. For each inner function $\theta$ we give a description of $H^p$-badly approximable functions in $\bar \theta H^p$.",
keywords = "Analytic approximation, Coinvariant subspaces",
author = "R.V. Bessonov",
year = "2013",
doi = "10.1016/j.jat.2013.05.004",
language = "English",
volume = "174",
pages = "558--572",
journal = "Journal of Approximation Theory",
issn = "0021-9045",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Analytic approximation in $L^p$ and coinvariant subspaces of the Hardy space

AU - Bessonov, R.V.

PY - 2013

Y1 - 2013

N2 - We generalize a classical result by A.Macintyre and W.Rogosinski on best $H^p$-approximation in $L^p$ of rational functions. For each inner function $\theta$ we give a description of $H^p$-badly approximable functions in $\bar \theta H^p$.

AB - We generalize a classical result by A.Macintyre and W.Rogosinski on best $H^p$-approximation in $L^p$ of rational functions. For each inner function $\theta$ we give a description of $H^p$-badly approximable functions in $\bar \theta H^p$.

KW - Analytic approximation

KW - Coinvariant subspaces

U2 - 10.1016/j.jat.2013.05.004

DO - 10.1016/j.jat.2013.05.004

M3 - Article

VL - 174

SP - 558

EP - 572

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

SN - 0021-9045

ER -

ID: 7407827