On representations of some classes of functions subharmonic in the unit disk and in the half-plane
The author establishes Riesz type representations for some classes of functions subharmonic in the unit disk or in the upper half-plane. These results generalize the earlier ones by \textit{A. M. Dzhrbashyan} [On canonical representations of functions meromorphic in the unit disk, Dokl. Akad. Nauk Arm. SSR 3, 3--9 (1945)], \textit{F. A. Shamoyan} [Dokl., Akad. Nauk Arm. SSR 90, No. 3, 99--103 (1990; Zbl 0722.30020)]\ and \textit{A. M. Dzhrbashyan (Djrbashian)} [Izv. Akad. Nauk Arm. SSR, Mat. 22, 451--477 (1987; Zbl 0649.30025)].
scientific article; zbMATH DE number 795427