Lower types of δ-subharmonic functions of the nonintegral order
It is proved that the lower types of functions $T (r, u)$ and $N (r, u) = N (r, u_1) - N (z, u_2)$ relative to the proximate order $\rho(r)$ of a function $u=u_1-u_2$ of fractional order $\rho$  $δ$-subharmonic in $\mathbb {R}^m$, $m\geq2$, coincide, that is, are simultaneously minimal...
Збережено в:
| Дата: | 1992 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1992
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8182 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | It is proved that the lower types of functions $T (r, u)$ and $N (r, u) = N (r, u_1) - N (z, u_2)$ relative to the proximate order $\rho(r)$ of a function $u=u_1-u_2$ of fractional order $\rho$  $δ$-subharmonic in $\mathbb {R}^m$, $m\geq2$, coincide, that is, are simultaneously minimal or mean. In the case of an arbitrary proximate order $\rho(r)$ the assertion is, in general, false. |
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