Integral mean δ-subharmonic functions and classes of almost regularly increasing
Classes $\Lambda_\delta$ of functions of finite $\lambda$-type $\delta$-subharmonic in $\mathbb R^m$ are investigated. A membership criterion that defines when a function belongs to the class $\Lambda_\delta$ expressed in terms of its integral q-means is established. Classes of entirely regular grow...
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| Datum: | 1992 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8110 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | Classes $\Lambda_\delta$ of functions of finite $\lambda$-type $\delta$-subharmonic in $\mathbb R^m$ are investigated. A membership criterion that defines when a function belongs to the class $\Lambda_\delta$ expressed in terms of its integral q-means is established. Classes of entirely regular growth of functions that are $\delta$-subharmonic in $\mathbb R^m$ are introduced and the behavior of these functions at infinity and the distribution of  Riesz-associated measures are studied. |
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