Lower types of δ-subharmonic functions of the nonintegral order

• Date: 1992
• Main Authors: Zabolotsky , M. V., Заболоцький , М. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8182
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...