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The Carleman-Goluzin-Krylov formula and entire functions smooth up to the boundary. / Bart, V. A.

In: Journal of Mathematical Sciences , Vol. 129, No. 4, 09.2005, p. 3944-3965.

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

Harvard

Bart, VA 2005, 'The Carleman-Goluzin-Krylov formula and entire functions smooth up to the boundary', Journal of Mathematical Sciences , vol. 129, no. 4, pp. 3944-3965. https://doi.org/10.1007/s10958-005-0331-8

APA

Bart, V. A. (2005). The Carleman-Goluzin-Krylov formula and entire functions smooth up to the boundary. Journal of Mathematical Sciences , 129(4), 3944-3965. https://doi.org/10.1007/s10958-005-0331-8

Vancouver

Bart VA. The Carleman-Goluzin-Krylov formula and entire functions smooth up to the boundary. Journal of Mathematical Sciences . 2005 Sep;129(4):3944-3965. https://doi.org/10.1007/s10958-005-0331-8

Author

Bart, V. A. / The Carleman-Goluzin-Krylov formula and entire functions smooth up to the boundary. In: Journal of Mathematical Sciences . 2005 ; Vol. 129, No. 4. pp. 3944-3965.

BibTeX

@article{f33a2f832a254366af4546bbe1c69648,
title = "The Carleman-Goluzin-Krylov formula and entire functions smooth up to the boundary",
abstract = "The classical Carleman-Goluzin-Krylov formula recovers an H 1-function from its boundary values on an arc. We study the applications of this formula to Lipschitz spaces of order α ≤ 1 and to higher-order smoothness spaces. The rate of convergence is estimated and some (counter-) examples are given. Bibliography: 13 titles.",
author = "Bart, {V. A.}",
year = "2005",
month = sep,
doi = "10.1007/s10958-005-0331-8",
language = "English",
volume = "129",
pages = "3944--3965",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - The Carleman-Goluzin-Krylov formula and entire functions smooth up to the boundary

AU - Bart, V. A.

PY - 2005/9

Y1 - 2005/9

N2 - The classical Carleman-Goluzin-Krylov formula recovers an H 1-function from its boundary values on an arc. We study the applications of this formula to Lipschitz spaces of order α ≤ 1 and to higher-order smoothness spaces. The rate of convergence is estimated and some (counter-) examples are given. Bibliography: 13 titles.

AB - The classical Carleman-Goluzin-Krylov formula recovers an H 1-function from its boundary values on an arc. We study the applications of this formula to Lipschitz spaces of order α ≤ 1 and to higher-order smoothness spaces. The rate of convergence is estimated and some (counter-) examples are given. Bibliography: 13 titles.

UR - http://www.scopus.com/inward/record.url?scp=23944469391&partnerID=8YFLogxK

U2 - 10.1007/s10958-005-0331-8

DO - 10.1007/s10958-005-0331-8

M3 - Article

AN - SCOPUS:23944469391

VL - 129

SP - 3944

EP - 3965

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 61819099