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Asymptotic behavior of fractional derivatives of bounded analytic functions
I. Chyzhykov, Yu. Kosaniak Lviv Ivan Franko National University,
Faculty of Mechanics and Mathematics,
1 Universytetska Str., Lviv 79000, Ukraine
Abstract:
We find sharp sufficient conditions for the boundedness of fractional derivatives of a bounded analytic function in a Stolz angle. If $F\neq0$ in the unit disc, the necessary and sufficient conditions for the boundedness of fractional derivatives of its argument in a Stolz angle are established.
Key words and phrases:
bounded analytic function, Stolz angle, Blaschke product, fractional derivative.
Received: 20.12.2015 Revised: 29.10.2016
Citation:
I. Chyzhykov, Yu. Kosaniak, “Asymptotic behavior of fractional derivatives of bounded analytic functions”, Zh. Mat. Fiz. Anal. Geom., 13:2 (2017), 107–118
Linking options:
https://www.mathnet.ru/eng/jmag665 https://www.mathnet.ru/eng/jmag/v13/i2/p107
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Abstract page: | 86 | Full-text PDF : | 34 | References: | 21 |
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