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Remark on the maximum of the absolute value of an analytic function on the boundary. / Shirokov, N. A.

In: Journal of Mathematical Sciences , Vol. 134, No. 4, 04.2006, p. 2320-2323.

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

Harvard

Shirokov, NA 2006, 'Remark on the maximum of the absolute value of an analytic function on the boundary', Journal of Mathematical Sciences , vol. 134, no. 4, pp. 2320-2323. https://doi.org/10.1007/s10958-006-0108-8

APA

Shirokov, N. A. (2006). Remark on the maximum of the absolute value of an analytic function on the boundary. Journal of Mathematical Sciences , 134(4), 2320-2323. https://doi.org/10.1007/s10958-006-0108-8

Vancouver

Shirokov NA. Remark on the maximum of the absolute value of an analytic function on the boundary. Journal of Mathematical Sciences . 2006 Apr;134(4):2320-2323. https://doi.org/10.1007/s10958-006-0108-8

Author

Shirokov, N. A. / Remark on the maximum of the absolute value of an analytic function on the boundary. In: Journal of Mathematical Sciences . 2006 ; Vol. 134, No. 4. pp. 2320-2323.

BibTeX

@article{45da6c2fae494eca9e35366dc09a4257,
title = "Remark on the maximum of the absolute value of an analytic function on the boundary",
abstract = "Let Λα be the analytic Holder class in the unit disk double-struck D sign. For f ε Λα and I ⊂ ∂double-struck D sign, let Mf(I) = maxI |f|. Assume that I and J are arcs such that |J| = |I| and J and I have the same midpoint. Then Mf(J) ≤ C(α,f)|I|α + M f(I)/logα(|I|α/Mf(I) +2) It is proved that this estimate cannot be improved.",
author = "Shirokov, {N. A.}",
year = "2006",
month = apr,
doi = "10.1007/s10958-006-0108-8",
language = "English",
volume = "134",
pages = "2320--2323",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Remark on the maximum of the absolute value of an analytic function on the boundary

AU - Shirokov, N. A.

PY - 2006/4

Y1 - 2006/4

N2 - Let Λα be the analytic Holder class in the unit disk double-struck D sign. For f ε Λα and I ⊂ ∂double-struck D sign, let Mf(I) = maxI |f|. Assume that I and J are arcs such that |J| = |I| and J and I have the same midpoint. Then Mf(J) ≤ C(α,f)|I|α + M f(I)/logα(|I|α/Mf(I) +2) It is proved that this estimate cannot be improved.

AB - Let Λα be the analytic Holder class in the unit disk double-struck D sign. For f ε Λα and I ⊂ ∂double-struck D sign, let Mf(I) = maxI |f|. Assume that I and J are arcs such that |J| = |I| and J and I have the same midpoint. Then Mf(J) ≤ C(α,f)|I|α + M f(I)/logα(|I|α/Mf(I) +2) It is proved that this estimate cannot be improved.

UR - http://www.scopus.com/inward/record.url?scp=33644699688&partnerID=8YFLogxK

U2 - 10.1007/s10958-006-0108-8

DO - 10.1007/s10958-006-0108-8

M3 - Article

AN - SCOPUS:33644699688

VL - 134

SP - 2320

EP - 2323

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 86660368