General páley problem

• Date: 1996
• Main Authors: Kondratyuk, Ya. V., Kondratyuk, A. A., Tarasyuk, S. I., Васильків, Я. В., Кондратюк, А. А., Тарасюк, С. I.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5359
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In the class of functions u of finite lower order subharmonic in ℝ p+2,p ∈ ℕ we establish an exact upper bound for $$\mathop {\lim }\limits_{r \to \infty } \inf \frac{{m_q (r,u^ + )}}{{T(r,u)}}, 1< q \le \infty ,$$ whereT(r, u) is a Nevanlinna characteristic of the function u andm q (r,...