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Jackson-Bernstein theorem in strictly pseudoconvex domains in Cn. / Shirokov, N. A.

In: Constructive Approximation, Vol. 5, No. 1, 12.1989, p. 455-461.

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

Harvard

Shirokov, NA 1989, 'Jackson-Bernstein theorem in strictly pseudoconvex domains in Cn', Constructive Approximation, vol. 5, no. 1, pp. 455-461. https://doi.org/10.1007/BF01889621

APA

Shirokov, N. A. (1989). Jackson-Bernstein theorem in strictly pseudoconvex domains in Cn. Constructive Approximation, 5(1), 455-461. https://doi.org/10.1007/BF01889621

Vancouver

Shirokov NA. Jackson-Bernstein theorem in strictly pseudoconvex domains in Cn. Constructive Approximation. 1989 Dec;5(1):455-461. https://doi.org/10.1007/BF01889621

Author

Shirokov, N. A. / Jackson-Bernstein theorem in strictly pseudoconvex domains in Cn. In: Constructive Approximation. 1989 ; Vol. 5, No. 1. pp. 455-461.

BibTeX

@article{dc3d605bb8cb4ac2b27e3cc509e1fb27,
title = "Jackson-Bernstein theorem in strictly pseudoconvex domains in Cn",
abstract = "Let ω be a C2-smooth strictly pseudoconvex domain in C n, let A(ω) denote the class of functions holomorphic in the interior {Mathematical expression} and continuous in ω, let P(ω) be the closure of holomorphic polynomials in the uniform C(ω)-norm, and let {Mathematical expression} be the H{\"o}lder class of holomorphic functions. With the assumption P(ω)=A(ω) a theorem concerning Λα(Ω) analogous to the classical Jackson-Bernstein theorem is proved.",
keywords = "AMS classification: 32E30, 41A63, Complex approximation, Jackson-Bernstein theorem, Strictly pseudoconvex domain",
author = "Shirokov, {N. A.}",
year = "1989",
month = dec,
doi = "10.1007/BF01889621",
language = "English",
volume = "5",
pages = "455--461",
journal = "Constructive Approximation",
issn = "0176-4276",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Jackson-Bernstein theorem in strictly pseudoconvex domains in Cn

AU - Shirokov, N. A.

PY - 1989/12

Y1 - 1989/12

N2 - Let ω be a C2-smooth strictly pseudoconvex domain in C n, let A(ω) denote the class of functions holomorphic in the interior {Mathematical expression} and continuous in ω, let P(ω) be the closure of holomorphic polynomials in the uniform C(ω)-norm, and let {Mathematical expression} be the Hölder class of holomorphic functions. With the assumption P(ω)=A(ω) a theorem concerning Λα(Ω) analogous to the classical Jackson-Bernstein theorem is proved.

AB - Let ω be a C2-smooth strictly pseudoconvex domain in C n, let A(ω) denote the class of functions holomorphic in the interior {Mathematical expression} and continuous in ω, let P(ω) be the closure of holomorphic polynomials in the uniform C(ω)-norm, and let {Mathematical expression} be the Hölder class of holomorphic functions. With the assumption P(ω)=A(ω) a theorem concerning Λα(Ω) analogous to the classical Jackson-Bernstein theorem is proved.

KW - AMS classification: 32E30, 41A63

KW - Complex approximation

KW - Jackson-Bernstein theorem

KW - Strictly pseudoconvex domain

UR - http://www.scopus.com/inward/record.url?scp=33846990263&partnerID=8YFLogxK

U2 - 10.1007/BF01889621

DO - 10.1007/BF01889621

M3 - Article

AN - SCOPUS:33846990263

VL - 5

SP - 455

EP - 461

JO - Constructive Approximation

JF - Constructive Approximation

SN - 0176-4276

IS - 1

ER -

ID: 86662923