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

• Дата: 1994
• Автори: Rashkovskii, A. Yu., Ronkin, L. I., Рашковський, А. Ю., Ронкін, Л. І.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1994
• Онлайн доступ: 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...