Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions
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.
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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Datum: | 2017 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/140567 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Chyzhykov, I. Kosaniak, Yu. 2018-07-10T18:27:54Z 2018-07-10T18:27:54Z 2017 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. 1812-9471 DOI: doi.org/10.15407/mag13.02.107 Mathematics Subject Classification 2000: 30D50 https://nasplib.isofts.kiev.ua/handle/123456789/140567 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions |
| spellingShingle |
Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions Chyzhykov, I. Kosaniak, Yu. |
| title_short |
Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions |
| title_full |
Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions |
| title_fullStr |
Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions |
| title_full_unstemmed |
Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions |
| title_sort |
asymptotic behavior of fractional derivatives of bounded analytic functions |
| author |
Chyzhykov, I. Kosaniak, Yu. |
| author_facet |
Chyzhykov, I. Kosaniak, Yu. |
| publishDate |
2017 |
| language |
English |
| container_title |
Журнал математической физики, анализа, геометрии |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
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.
|
| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/140567 |
| citation_txt |
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. |
| work_keys_str_mv |
AT chyzhykovi asymptoticbehavioroffractionalderivativesofboundedanalyticfunctions AT kosaniakyu asymptoticbehavioroffractionalderivativesofboundedanalyticfunctions |
| first_indexed |
2025-12-07T16:07:27Z |
| last_indexed |
2025-12-07T16:07:27Z |
| _version_ |
1850866293795717120 |