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Outer functions from the analytic O. V. Besov classes. / Shirokov, N. A.

в: Journal of Mathematical Sciences , Том 85, № 2, 1997, стр. 1867-1897.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

Harvard

Shirokov, NA 1997, 'Outer functions from the analytic O. V. Besov classes', Journal of Mathematical Sciences , Том. 85, № 2, стр. 1867-1897. https://doi.org/10.1007/BF02355296

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Author

Shirokov, N. A. / Outer functions from the analytic O. V. Besov classes. в: Journal of Mathematical Sciences . 1997 ; Том 85, № 2. стр. 1867-1897.

BibTeX

@article{5344a1577c934c6a94c9ab1242bc75bc,
title = "Outer functions from the analytic O. V. Besov classes",
abstract = "For the case 1 < p < ∞, 1 ≤ q ≤ ∞, 1/p < α < 1, r ≥ 0, we completely describe the set of outer functions, in the sense of the Nevanlinna factorization, for the analytic O. V. Besov classes ABpqr+α. Corollaries that are of the type of Λα/2-theorems are obtained.",
author = "Shirokov, {N. A.}",
note = "Funding Information: The research described in this paper was made possible in part by Grant No. NS5000 from the International Science Foundation.",
year = "1997",
doi = "10.1007/BF02355296",
language = "English",
volume = "85",
pages = "1867--1897",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Outer functions from the analytic O. V. Besov classes

AU - Shirokov, N. A.

N1 - Funding Information: The research described in this paper was made possible in part by Grant No. NS5000 from the International Science Foundation.

PY - 1997

Y1 - 1997

N2 - For the case 1 < p < ∞, 1 ≤ q ≤ ∞, 1/p < α < 1, r ≥ 0, we completely describe the set of outer functions, in the sense of the Nevanlinna factorization, for the analytic O. V. Besov classes ABpqr+α. Corollaries that are of the type of Λα/2-theorems are obtained.

AB - For the case 1 < p < ∞, 1 ≤ q ≤ ∞, 1/p < α < 1, r ≥ 0, we completely describe the set of outer functions, in the sense of the Nevanlinna factorization, for the analytic O. V. Besov classes ABpqr+α. Corollaries that are of the type of Λα/2-theorems are obtained.

UR - http://www.scopus.com/inward/record.url?scp=0012718515&partnerID=8YFLogxK

U2 - 10.1007/BF02355296

DO - 10.1007/BF02355296

M3 - Article

AN - SCOPUS:0012718515

VL - 85

SP - 1867

EP - 1897

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 86661457