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Smoothness of a holomorphic function and its modulus on the boundary of a polydisk. / Shirokov, N. A. .
в: Journal of Mathematical Sciences, Том 234, № 3, 2018, стр. 381-383.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Smoothness of a holomorphic function and its modulus on the boundary of a polydisk
AU - Shirokov, N. A.
N1 - Shirokov, N.A. Smoothness of a Holomorphic Function and Its Modulus on the Boundary of a Polydisk. J Math Sci 234, 381–383 (2018). https://doi.org/10.1007/s10958-018-4016-5
PY - 2018
Y1 - 2018
N2 - We prove that if a function f is holomorphic in the polydisk 픻 n, n ≥ 2, f is continuous in D n¯ , f(z) ≠ 0, z ∈ 픻 n, and |f| belongs to the α-Hölder class, 0 < α < 1, on the boundary of 픻 n, then f belongs to the (α2−ε)-Hölder class on D n¯ for any ε > 0.
AB - We prove that if a function f is holomorphic in the polydisk 픻 n, n ≥ 2, f is continuous in D n¯ , f(z) ≠ 0, z ∈ 픻 n, and |f| belongs to the α-Hölder class, 0 < α < 1, on the boundary of 픻 n, then f belongs to the (α2−ε)-Hölder class on D n¯ for any ε > 0.
UR - http://www.scopus.com/inward/record.url?scp=85052726741&partnerID=8YFLogxK
U2 - 10.1007/s10958-018-4016-5
DO - 10.1007/s10958-018-4016-5
M3 - Article
VL - 234
SP - 381
EP - 383
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 3
ER -
ID: 32482815