Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2017
• Main Authors: Chyzhykov, I., Kosaniak, Yu.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/140567
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions / I. Chyzhykov, Yu. Kosaniak // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 2. — С. 107-118. — Бібліогр.: 15 назв. — англ.

We find sharp sufficient conditions for the boundedness of fractional derivatives of a bounded analytic function in a Stolz angle. If F ≠ 0 in the unit disc, the necessary and sufficient conditions for the boundedness of fractional derivatives of its argument in a Stolz angle are established.