On the Growth of Infinite-Order Subharmonic Functions in ℂ

Authors

  • Ya. V. Kondratyuk

Abstract

For infinite-order functions u subharmonic in C with given restrictions on the Riesz masses of a disk of radius r ∈ (0, +∞), we find majorants for the functions B(r,u)=max and \overset{\lower0.5em\hbox{\(\smash{\scriptscriptstyle\smile}\)}}{B} \left( {r,u} \right) = \sup \left\{ {\left| {\overset{\lower0.5em\hbox{\(\smash{\scriptscriptstyle\smile}\)}}{u} \left( z \right)} \right|:\left| z \right| \leqslant r} \right\} , where \overset{\lower0.5em\hbox{\(\smash{\scriptscriptstyle\smile}\)}}{u} is a function conjugate to u.

Published

25.09.2002

Issue

Section

Short communications

How to Cite

Kondratyuk, Ya. V. “On the Growth of Infinite-Order Subharmonic Functions in ℂ”. Ukrains’kyi Matematychnyi Zhurnal, vol. 54, no. 9, Sept. 2002, pp. 1276-81, https://umj.imath.kiev.ua/index.php/umj/article/view/4165.