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On the sharpness of the estimate in a theorem concerning the half smoothness of a function holomorphic in a ball. / Shirokov, N. A. .

In: Journal of Mathematical Sciences, Vol. 243, No. 6, 2019, p. 985-992.

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

Harvard

Shirokov, NA 2019, 'On the sharpness of the estimate in a theorem concerning the half smoothness of a function holomorphic in a ball', Journal of Mathematical Sciences, vol. 243, no. 6, pp. 985-992. https://doi.org/10.1007/s10958-019-04599-x

APA

Shirokov, N. A. (2019). On the sharpness of the estimate in a theorem concerning the half smoothness of a function holomorphic in a ball. Journal of Mathematical Sciences, 243(6), 985-992. https://doi.org/10.1007/s10958-019-04599-x

Vancouver

Shirokov NA. On the sharpness of the estimate in a theorem concerning the half smoothness of a function holomorphic in a ball. Journal of Mathematical Sciences. 2019;243(6):985-992. https://doi.org/10.1007/s10958-019-04599-x

Author

Shirokov, N. A. . / On the sharpness of the estimate in a theorem concerning the half smoothness of a function holomorphic in a ball. In: Journal of Mathematical Sciences. 2019 ; Vol. 243, No. 6. pp. 985-992.

BibTeX

@article{f9d10614351d45faa1b8d54ebcd93b1a,
title = "On the sharpness of the estimate in a theorem concerning the half smoothness of a function holomorphic in a ball",
abstract = "Let 픹 n be the unit ball and S n be the unit sphere in ℂ n, n ≥ 2. Let 0 < α < 1, and define a function f on [InlineMediaObject not available: see fulltext.] as follows: [Figure not available: see fulltext.] The main result of the paper is the following theorem: the function ζ ↦ |f(ζ)| on the unit sphere S n belongs to the H{\"o}lder class H α(S n), while the function f does not belong to the H{\"o}lder class [InlineMediaObject not available: see fulltext.] for any ε > 0. ",
author = "Shirokov, {N. A.}",
note = "Shirokov, N.A. On the Sharpness of the Estimate in a Theorem Concerning the Half Smoothness of a Function Holomorphic in a Ball. J Math Sci 243, 985–992 (2019). https://doi.org/10.1007/s10958-019-04599-x",
year = "2019",
doi = "10.1007/s10958-019-04599-x",
language = "English",
volume = "243",
pages = "985--992",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - On the sharpness of the estimate in a theorem concerning the half smoothness of a function holomorphic in a ball

AU - Shirokov, N. A.

N1 - Shirokov, N.A. On the Sharpness of the Estimate in a Theorem Concerning the Half Smoothness of a Function Holomorphic in a Ball. J Math Sci 243, 985–992 (2019). https://doi.org/10.1007/s10958-019-04599-x

PY - 2019

Y1 - 2019

N2 - Let 픹 n be the unit ball and S n be the unit sphere in ℂ n, n ≥ 2. Let 0 < α < 1, and define a function f on [InlineMediaObject not available: see fulltext.] as follows: [Figure not available: see fulltext.] The main result of the paper is the following theorem: the function ζ ↦ |f(ζ)| on the unit sphere S n belongs to the Hölder class H α(S n), while the function f does not belong to the Hölder class [InlineMediaObject not available: see fulltext.] for any ε > 0.

AB - Let 픹 n be the unit ball and S n be the unit sphere in ℂ n, n ≥ 2. Let 0 < α < 1, and define a function f on [InlineMediaObject not available: see fulltext.] as follows: [Figure not available: see fulltext.] The main result of the paper is the following theorem: the function ζ ↦ |f(ζ)| on the unit sphere S n belongs to the Hölder class H α(S n), while the function f does not belong to the Hölder class [InlineMediaObject not available: see fulltext.] for any ε > 0.

UR - http://www.scopus.com/inward/record.url?scp=85075054100&partnerID=8YFLogxK

U2 - 10.1007/s10958-019-04599-x

DO - 10.1007/s10958-019-04599-x

M3 - Article

VL - 243

SP - 985

EP - 992

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 49022784