Standard

Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings. / Baranov, Anton D.

In: Journal of Functional Analysis, Vol. 223, No. 1, 01.06.2005, p. 116-146.

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

Harvard

Baranov, AD 2005, 'Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings', Journal of Functional Analysis, vol. 223, no. 1, pp. 116-146. https://doi.org/10.1016/j.jfa.2004.08.014

APA

Baranov, A. D. (2005). Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings. Journal of Functional Analysis, 223(1), 116-146. https://doi.org/10.1016/j.jfa.2004.08.014

Vancouver

Baranov AD. Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings. Journal of Functional Analysis. 2005 Jun 1;223(1):116-146. https://doi.org/10.1016/j.jfa.2004.08.014

Author

Baranov, Anton D. / Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings. In: Journal of Functional Analysis. 2005 ; Vol. 223, No. 1. pp. 116-146.

BibTeX

@article{92a8888c8fbe442e929b579e54d06543,
title = "Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings",
abstract = "We study weighted norm inequalities for the derivatives (Bernstein-type inequalities) in the shift-coinvariant subspaces KΘ p of the Hardy class Hp in the upper half-plane. It is shown that the differentiation operator acts from KΘp to certain spaces of the form Lp (w), where the weight w (x) depends on the density of the spectrum of Θ near the point x of the real line. We discuss an application of the Bernstein-type inequalities to the problems of the description of measures μ, for which KΘp ⊂ Lp (μ), and of compactness of such embeddings. New versions of Carleson-type embedding theorems are obtained generalizing the theorems due to W.S. Cohn and A.L. Volberg-S.R. Treil.",
keywords = "Bernstein-type inequalities, Carleson measures, Hardy class, Inner functions, Shift-coinvariant subspaces",
author = "Baranov, {Anton D.}",
year = "2005",
month = jun,
day = "1",
doi = "10.1016/j.jfa.2004.08.014",
language = "English",
volume = "223",
pages = "116--146",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings

AU - Baranov, Anton D.

PY - 2005/6/1

Y1 - 2005/6/1

N2 - We study weighted norm inequalities for the derivatives (Bernstein-type inequalities) in the shift-coinvariant subspaces KΘ p of the Hardy class Hp in the upper half-plane. It is shown that the differentiation operator acts from KΘp to certain spaces of the form Lp (w), where the weight w (x) depends on the density of the spectrum of Θ near the point x of the real line. We discuss an application of the Bernstein-type inequalities to the problems of the description of measures μ, for which KΘp ⊂ Lp (μ), and of compactness of such embeddings. New versions of Carleson-type embedding theorems are obtained generalizing the theorems due to W.S. Cohn and A.L. Volberg-S.R. Treil.

AB - We study weighted norm inequalities for the derivatives (Bernstein-type inequalities) in the shift-coinvariant subspaces KΘ p of the Hardy class Hp in the upper half-plane. It is shown that the differentiation operator acts from KΘp to certain spaces of the form Lp (w), where the weight w (x) depends on the density of the spectrum of Θ near the point x of the real line. We discuss an application of the Bernstein-type inequalities to the problems of the description of measures μ, for which KΘp ⊂ Lp (μ), and of compactness of such embeddings. New versions of Carleson-type embedding theorems are obtained generalizing the theorems due to W.S. Cohn and A.L. Volberg-S.R. Treil.

KW - Bernstein-type inequalities

KW - Carleson measures

KW - Hardy class

KW - Inner functions

KW - Shift-coinvariant subspaces

UR - http://www.scopus.com/inward/record.url?scp=17844376230&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2004.08.014

DO - 10.1016/j.jfa.2004.08.014

M3 - Article

AN - SCOPUS:17844376230

VL - 223

SP - 116

EP - 146

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 1

ER -

ID: 32721757