Diameters of certain classes of analytical functions. I
In the spaces of analytic functions $E_q (\Omega), q\geq1$,, introduced by V. I. Smirnov, where $\Omega$ is a bounded simply connected domain in the plane $\mathbb C$  with sufficiently smooth boundary γ, we obtain order estimates of diameters of the classes $W^rE_p (\Omega) (р\geq1$, a...
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| Datum: | 1992 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8101 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | In the spaces of analytic functions $E_q (\Omega), q\geq1$,, introduced by V. I. Smirnov, where $\Omega$ is a bounded simply connected domain in the plane $\mathbb C$  with sufficiently smooth boundary γ, we obtain order estimates of diameters of the classes $W^rE_p (\Omega) (р\geq1$, and $r$ is a natural number $\geq 2$) for distinct $p$ and $q$.
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