Standard

Smoothness of a Holomorphic Function in a Ball and of its Modulus on the Sphere. / Shirokov, N. A. .

In: Journal of Mathematical Sciences, Vol. 229, No. 5, 03.2018, p. 568-571.

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

Harvard

Shirokov, NA 2018, 'Smoothness of a Holomorphic Function in a Ball and of its Modulus on the Sphere', Journal of Mathematical Sciences, vol. 229, no. 5, pp. 568-571. https://doi.org/10.1007/s10958-018-3699-y

APA

Shirokov, N. A. (2018). Smoothness of a Holomorphic Function in a Ball and of its Modulus on the Sphere. Journal of Mathematical Sciences, 229(5), 568-571. https://doi.org/10.1007/s10958-018-3699-y

Vancouver

Shirokov NA. Smoothness of a Holomorphic Function in a Ball and of its Modulus on the Sphere. Journal of Mathematical Sciences. 2018 Mar;229(5):568-571. https://doi.org/10.1007/s10958-018-3699-y

Author

Shirokov, N. A. . / Smoothness of a Holomorphic Function in a Ball and of its Modulus on the Sphere. In: Journal of Mathematical Sciences. 2018 ; Vol. 229, No. 5. pp. 568-571.

BibTeX

@article{a1422e8ce89a49e4b9b74b2c224cf7c9,
title = "Smoothness of a Holomorphic Function in a Ball and of its Modulus on the Sphere",
abstract = "Let a function f be holomorphic in the unit ball n, continuous in the closed ball B¯ n , and let f(z) ≠ 0, z ∈ n. Assume that |f| belongs to the α-H{\"o}lder class on the unit sphere S n, 0 < α ≤ 1. The present paper is devoted to the proof of the statement that f belongs to the α/2-H{\"o}lder class on B¯ n. ",
author = "Shirokov, {N. A.}",
note = "Shirokov, N.A. Smoothness of a Holomorphic Function in a Ball and of its Modulus on the Sphere. J Math Sci 229, 568–571 (2018). https://doi.org/10.1007/s10958-018-3699-y",
year = "2018",
month = mar,
doi = "10.1007/s10958-018-3699-y",
language = "English",
volume = "229",
pages = "568--571",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Smoothness of a Holomorphic Function in a Ball and of its Modulus on the Sphere

AU - Shirokov, N. A.

N1 - Shirokov, N.A. Smoothness of a Holomorphic Function in a Ball and of its Modulus on the Sphere. J Math Sci 229, 568–571 (2018). https://doi.org/10.1007/s10958-018-3699-y

PY - 2018/3

Y1 - 2018/3

N2 - Let a function f be holomorphic in the unit ball n, continuous in the closed ball B¯ n , and let f(z) ≠ 0, z ∈ n. Assume that |f| belongs to the α-Hölder class on the unit sphere S n, 0 < α ≤ 1. The present paper is devoted to the proof of the statement that f belongs to the α/2-Hölder class on B¯ n.

AB - Let a function f be holomorphic in the unit ball n, continuous in the closed ball B¯ n , and let f(z) ≠ 0, z ∈ n. Assume that |f| belongs to the α-Hölder class on the unit sphere S n, 0 < α ≤ 1. The present paper is devoted to the proof of the statement that f belongs to the α/2-Hölder class on B¯ n.

UR - http://www.scopus.com/inward/record.url?scp=85041521338&partnerID=8YFLogxK

U2 - 10.1007/s10958-018-3699-y

DO - 10.1007/s10958-018-3699-y

M3 - Article

VL - 229

SP - 568

EP - 571

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 32482784