Standard

Model functions with nearly prescribed modulus. / Belov, Yu S.

In: St. Petersburg Mathematical Journal, Vol. 20, No. 2, 01.01.2009, p. 163-174.

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

Harvard

Belov, YS 2009, 'Model functions with nearly prescribed modulus', St. Petersburg Mathematical Journal, vol. 20, no. 2, pp. 163-174. https://doi.org/10.1090/S1061-0022-09-01042-5

APA

Belov, Y. S. (2009). Model functions with nearly prescribed modulus. St. Petersburg Mathematical Journal, 20(2), 163-174. https://doi.org/10.1090/S1061-0022-09-01042-5

Vancouver

Belov YS. Model functions with nearly prescribed modulus. St. Petersburg Mathematical Journal. 2009 Jan 1;20(2):163-174. https://doi.org/10.1090/S1061-0022-09-01042-5

Author

Belov, Yu S. / Model functions with nearly prescribed modulus. In: St. Petersburg Mathematical Journal. 2009 ; Vol. 20, No. 2. pp. 163-174.

BibTeX

@article{9db71b092e7b413dbe30edb6887fa196,
title = "Model functions with nearly prescribed modulus",
abstract = "Let Θ be an inner function on the upper half-plane, and let KΘ = H2⊖ΘH2 be the corresponding model subspace. A nonnegative measurable function ω is said to be strongly admissible for KΘ if there exists a nonzero function f ∈ KΘ with f ≍ ω. Certain conditions sufficient for strong admissibility are given in the case where Θ is meromorphic.",
keywords = "Admissible function, Beurling–Malliavin theorem, Logarithmic integral, Model subspace",
author = "Belov, {Yu S.}",
year = "2009",
month = jan,
day = "1",
doi = "10.1090/S1061-0022-09-01042-5",
language = "English",
volume = "20",
pages = "163--174",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Model functions with nearly prescribed modulus

AU - Belov, Yu S.

PY - 2009/1/1

Y1 - 2009/1/1

N2 - Let Θ be an inner function on the upper half-plane, and let KΘ = H2⊖ΘH2 be the corresponding model subspace. A nonnegative measurable function ω is said to be strongly admissible for KΘ if there exists a nonzero function f ∈ KΘ with f ≍ ω. Certain conditions sufficient for strong admissibility are given in the case where Θ is meromorphic.

AB - Let Θ be an inner function on the upper half-plane, and let KΘ = H2⊖ΘH2 be the corresponding model subspace. A nonnegative measurable function ω is said to be strongly admissible for KΘ if there exists a nonzero function f ∈ KΘ with f ≍ ω. Certain conditions sufficient for strong admissibility are given in the case where Θ is meromorphic.

KW - Admissible function

KW - Beurling–Malliavin theorem

KW - Logarithmic integral

KW - Model subspace

UR - http://www.scopus.com/inward/record.url?scp=85009761169&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-09-01042-5

DO - 10.1090/S1061-0022-09-01042-5

M3 - Article

AN - SCOPUS:85009761169

VL - 20

SP - 163

EP - 174

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 2

ER -

ID: 39999488