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Embeddings of model subspaces of the Hardy space : Compactness and Schatten-vonNeumann ideals. / Baranov, Anton D.

In: Izvestiya Mathematics, Vol. 73, No. 6, 01.12.2009, p. 1077-1100.

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

Harvard

Baranov, AD 2009, 'Embeddings of model subspaces of the Hardy space: Compactness and Schatten-vonNeumann ideals', Izvestiya Mathematics, vol. 73, no. 6, pp. 1077-1100. https://doi.org/10.1070/IM2009v073n06ABEH002473

APA

Baranov, A. D. (2009). Embeddings of model subspaces of the Hardy space: Compactness and Schatten-vonNeumann ideals. Izvestiya Mathematics, 73(6), 1077-1100. https://doi.org/10.1070/IM2009v073n06ABEH002473

Vancouver

Baranov AD. Embeddings of model subspaces of the Hardy space: Compactness and Schatten-vonNeumann ideals. Izvestiya Mathematics. 2009 Dec 1;73(6):1077-1100. https://doi.org/10.1070/IM2009v073n06ABEH002473

Author

Baranov, Anton D. / Embeddings of model subspaces of the Hardy space : Compactness and Schatten-vonNeumann ideals. In: Izvestiya Mathematics. 2009 ; Vol. 73, No. 6. pp. 1077-1100.

BibTeX

@article{ec638cb41b8144a69a5247ddd0d84866,
title = "Embeddings of model subspaces of the Hardy space: Compactness and Schatten-vonNeumann ideals",
abstract = "We study properties of the embedding operators of model sub-spaces K Δp(defined by inner functions) in the Hardy space Hp(coinvariant subspaces of the shift operator). We find acriterion for the embedding of KΔP in Lp(μ) to be compact similar to the Volberg-Treil theorem on bounded embeddings, and give apositive answer to aquestion of Cima and Matheson. The proof is based on Bernstein-type inequalities for functions in KΔP. We investigate measures such that the embedding operator belongs to some Schatten-vonNeumann ideal.",
keywords = "Carleson measure, Embedding theorem, Hardy space, Inner function",
author = "Baranov, {Anton D.}",
year = "2009",
month = dec,
day = "1",
doi = "10.1070/IM2009v073n06ABEH002473",
language = "English",
volume = "73",
pages = "1077--1100",
journal = "Izvestiya Mathematics",
issn = "1064-5632",
publisher = "IOP Publishing Ltd.",
number = "6",

}

RIS

TY - JOUR

T1 - Embeddings of model subspaces of the Hardy space

T2 - Compactness and Schatten-vonNeumann ideals

AU - Baranov, Anton D.

PY - 2009/12/1

Y1 - 2009/12/1

N2 - We study properties of the embedding operators of model sub-spaces K Δp(defined by inner functions) in the Hardy space Hp(coinvariant subspaces of the shift operator). We find acriterion for the embedding of KΔP in Lp(μ) to be compact similar to the Volberg-Treil theorem on bounded embeddings, and give apositive answer to aquestion of Cima and Matheson. The proof is based on Bernstein-type inequalities for functions in KΔP. We investigate measures such that the embedding operator belongs to some Schatten-vonNeumann ideal.

AB - We study properties of the embedding operators of model sub-spaces K Δp(defined by inner functions) in the Hardy space Hp(coinvariant subspaces of the shift operator). We find acriterion for the embedding of KΔP in Lp(μ) to be compact similar to the Volberg-Treil theorem on bounded embeddings, and give apositive answer to aquestion of Cima and Matheson. The proof is based on Bernstein-type inequalities for functions in KΔP. We investigate measures such that the embedding operator belongs to some Schatten-vonNeumann ideal.

KW - Carleson measure

KW - Embedding theorem

KW - Hardy space

KW - Inner function

UR - http://www.scopus.com/inward/record.url?scp=74549146818&partnerID=8YFLogxK

U2 - 10.1070/IM2009v073n06ABEH002473

DO - 10.1070/IM2009v073n06ABEH002473

M3 - Article

AN - SCOPUS:74549146818

VL - 73

SP - 1077

EP - 1100

JO - Izvestiya Mathematics

JF - Izvestiya Mathematics

SN - 1064-5632

IS - 6

ER -

ID: 32722304