Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2017, Volume 13, Number 2, Pages 107–118
DOI: https://doi.org/10.15407/mag13.02.107 (Mi jmag665) 		 
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
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DOI: https://doi.org/10.15407/mag13.02.107
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
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Document Type: Article
MSC: 30D50
Language: English
Citation: I. Chyzhykov, Yu. Kosaniak, “Asymptotic behavior of fractional derivatives of bounded analytic functions”, Zh. Mat. Fiz. Anal. Geom., 13:2 (2017), 107–118
Citation in format AMSBIB
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\by I.~Chyzhykov, Yu.~Kosaniak
\paper Asymptotic behavior of fractional derivatives of bounded analytic functions
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2017
\vol 13
\issue 2
\pages 107--118
\mathnet{http://mi.mathnet.ru/jmag665}
\crossref{https://doi.org/10.15407/mag13.02.107}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000403877800001}
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