On some subclasses of delta-subharmonic functions with nonnegative harmonic majorants in the half-plane

Abstract

The paper is devoted to the construction in the half-plane, for delta-subharmonic functions, of an analog of the part of the theory of M. M. Djrbashian-V. S. Zakarian, which relates to the factorization of the ω-weighted subclasses of meromorphic functions of bounded type in the unit disc. Some ω-weighted classes of delta-subharmonic functions with bounded Tsuji type characteristics are introduced in the upper half-plane and the descriptive representations of these classes are found.