On the Growth of Infinite-Order Subharmonic Functions in ℂ

• Date: 2002
• Main Authors: Kondratyuk, Ya. V., Василькив, Я. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4165
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For infinite-order functions u subharmonic in \(\mathbb{C}\) with given restrictions on the Riesz masses of a disk of radius r ∈ (0, +∞), we find majorants for the functions \(B\left( {r,u} \right) = \max \left\{ {\left| {u\left( z \right)} \right|:\left| z \right| \leqslant r} \right\}\) an...