Extension and approximation of functions subharmonic in a half plane. Impossibility of extension of plurisubharmonic functions

• Datum: 1994
• Hauptverfasser: Rashkovskii, A. Yu., Ronkin, L. I., Рашковський, А. Ю., Ронкін, Л. І.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5655
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We construct different extensions of functions subharmonic in a half plane to the whole plane. The results obtained are applied to the approximation of subharmonic functions of finite order in a half plane by the logarithm of the modulus of an entire function. It is shown that the problem of extensi...