Standard

Outer Functions in Classes of Analytic Functions of Variable Smoothness. / Shirokov, N. A.

In: Journal of Mathematical Sciences (United States), Vol. 251, No. 2, 01.11.2020, p. 296-300.

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

Harvard

Shirokov, NA 2020, 'Outer Functions in Classes of Analytic Functions of Variable Smoothness', Journal of Mathematical Sciences (United States), vol. 251, no. 2, pp. 296-300. https://doi.org/10.1007/s10958-020-05091-7

APA

Shirokov, N. A. (2020). Outer Functions in Classes of Analytic Functions of Variable Smoothness. Journal of Mathematical Sciences (United States), 251(2), 296-300. https://doi.org/10.1007/s10958-020-05091-7

Vancouver

Shirokov NA. Outer Functions in Classes of Analytic Functions of Variable Smoothness. Journal of Mathematical Sciences (United States). 2020 Nov 1;251(2):296-300. https://doi.org/10.1007/s10958-020-05091-7

Author

Shirokov, N. A. / Outer Functions in Classes of Analytic Functions of Variable Smoothness. In: Journal of Mathematical Sciences (United States). 2020 ; Vol. 251, No. 2. pp. 296-300.

BibTeX

@article{9b47821dec7e46a794379604ab61a415,
title = "Outer Functions in Classes of Analytic Functions of Variable Smoothness",
abstract = "We use a H{\"o}lder condition with respect to a variable exponent Lebesgue norm to introduce classes of analytic functions in a disc and of holomorphic functions in a ball. We describe outer functions in the disc and find the smoothness decay of a function in comparison with the smoothness of its modulus on the boundary, in the case of the disc and of the ball.",
author = "Shirokov, {N. A.}",
note = "Publisher Copyright: {\textcopyright} 2020, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = nov,
day = "1",
doi = "10.1007/s10958-020-05091-7",
language = "English",
volume = "251",
pages = "296--300",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Outer Functions in Classes of Analytic Functions of Variable Smoothness

AU - Shirokov, N. A.

N1 - Publisher Copyright: © 2020, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/11/1

Y1 - 2020/11/1

N2 - We use a Hölder condition with respect to a variable exponent Lebesgue norm to introduce classes of analytic functions in a disc and of holomorphic functions in a ball. We describe outer functions in the disc and find the smoothness decay of a function in comparison with the smoothness of its modulus on the boundary, in the case of the disc and of the ball.

AB - We use a Hölder condition with respect to a variable exponent Lebesgue norm to introduce classes of analytic functions in a disc and of holomorphic functions in a ball. We describe outer functions in the disc and find the smoothness decay of a function in comparison with the smoothness of its modulus on the boundary, in the case of the disc and of the ball.

UR - http://www.scopus.com/inward/record.url?scp=85093826835&partnerID=8YFLogxK

U2 - 10.1007/s10958-020-05091-7

DO - 10.1007/s10958-020-05091-7

M3 - Article

AN - SCOPUS:85093826835

VL - 251

SP - 296

EP - 300

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 75032072