The Carathéodory Inequality on the Boundary for Holomorphic Functions in the Unit Disc
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The Carathéodory Inequality on the Boundary for Holomorphic Functions in the Unit Disc
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| Creator |
Örnek, B.N.
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| Description |
In this paper, a boundary version of the Carathéodory inequality is studied. For the function f(z), defined in the unit disc with f(0) = 0, R f(z) ≤ A, we estimate a modulus of angular derivative at the boundary point z0, Rf(z0) = A, by taking into account the first two nonzero Maclaurin coefficients. The sharpness of these estimates is also proved.
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| Date |
2018-07-10T16:09:11Z
2018-07-10T16:09:11Z 2016 |
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| Type |
Article
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| Identifier |
The Carathéodory Inequality on the Boundary for Holomorphic Functions in the Unit Disc / B.N. Örnek // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 4. — С. 287-301. — Бібліогр.: 9 назв. — англ.
1812-9471 DOI : doi.org/10.15407/mag12.04.287 Mathematics Subject Classification 2000: 30C80 http://dspace.nbuv.gov.ua/handle/123456789/140556 |
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| Language |
en
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| Relation |
Журнал математической физики, анализа, геометрии
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| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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