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 |
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| Datum: | 2017 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862688015644622848 |
|---|---|
| author | Chyzhykov, I. Kosaniak, Yu. |
| author_facet | Chyzhykov, I. Kosaniak, Yu. |
| 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| 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.
|
| first_indexed | 2025-12-07T16:07:27Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-140567 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T16:07:27Z |
| publishDate | 2017 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions Chyzhykov, I. Kosaniak, Yu. |
| title | 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_short | Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions |
| title_sort | asymptotic behavior of fractional derivatives of bounded analytic functions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/140567 |
| work_keys_str_mv | AT chyzhykovi asymptoticbehavioroffractionalderivativesofboundedanalyticfunctions AT kosaniakyu asymptoticbehavioroffractionalderivativesofboundedanalyticfunctions |