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Subspaces of de branges spaces with prescribed growth. / Baranov, A.; Woracek, H.

In: St. Petersburg Mathematical Journal, Vol. 18, No. 5, 01.01.2007, p. 699-716.

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

Harvard

Baranov, A & Woracek, H 2007, 'Subspaces of de branges spaces with prescribed growth', St. Petersburg Mathematical Journal, vol. 18, no. 5, pp. 699-716. https://doi.org/10.1090/S1061-0022-07-00969-7

APA

Baranov, A., & Woracek, H. (2007). Subspaces of de branges spaces with prescribed growth. St. Petersburg Mathematical Journal, 18(5), 699-716. https://doi.org/10.1090/S1061-0022-07-00969-7

Vancouver

Baranov A, Woracek H. Subspaces of de branges spaces with prescribed growth. St. Petersburg Mathematical Journal. 2007 Jan 1;18(5):699-716. https://doi.org/10.1090/S1061-0022-07-00969-7

Author

Baranov, A. ; Woracek, H. / Subspaces of de branges spaces with prescribed growth. In: St. Petersburg Mathematical Journal. 2007 ; Vol. 18, No. 5. pp. 699-716.

BibTeX

@article{e265e67e04154190b353b89a5f5cc241,
title = "Subspaces of de branges spaces with prescribed growth",
abstract = "The growth properties of de Branges spaces and their subspaces are studied. It is shown that, for each given pair of growth functions λ(r) = O(r) and λ1 = o(λ), there exist de Branges spaces of growth λ that have a de Branges subspace of growth λ1. This phenomenon cannot occur for a class of de Branges spaces that, in a certain sense, behave regularly along the real axis.",
keywords = "De Branges space, De Branges subspace, Growth function",
author = "A. Baranov and H. Woracek",
year = "2007",
month = jan,
day = "1",
doi = "10.1090/S1061-0022-07-00969-7",
language = "English",
volume = "18",
pages = "699--716",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "5",

}

RIS

TY - JOUR

T1 - Subspaces of de branges spaces with prescribed growth

AU - Baranov, A.

AU - Woracek, H.

PY - 2007/1/1

Y1 - 2007/1/1

N2 - The growth properties of de Branges spaces and their subspaces are studied. It is shown that, for each given pair of growth functions λ(r) = O(r) and λ1 = o(λ), there exist de Branges spaces of growth λ that have a de Branges subspace of growth λ1. This phenomenon cannot occur for a class of de Branges spaces that, in a certain sense, behave regularly along the real axis.

AB - The growth properties of de Branges spaces and their subspaces are studied. It is shown that, for each given pair of growth functions λ(r) = O(r) and λ1 = o(λ), there exist de Branges spaces of growth λ that have a de Branges subspace of growth λ1. This phenomenon cannot occur for a class of de Branges spaces that, in a certain sense, behave regularly along the real axis.

KW - De Branges space

KW - De Branges subspace

KW - Growth function

UR - http://www.scopus.com/inward/record.url?scp=85009781695&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-07-00969-7

DO - 10.1090/S1061-0022-07-00969-7

M3 - Article

AN - SCOPUS:85009781695

VL - 18

SP - 699

EP - 716

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 5

ER -

ID: 53517080