Various Types of Convergence of Sequences of Subharmonic Functions

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2015
• Main Author: Nguyen Van Quynh
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/117984
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Various Types of Convergence of Sequences of Subharmonic Functions / Nguyen Van Quynh // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 1. — С. 63-74— Бібліогр.: 6 назв. — англ.

Let υn(x) be a sequence of subharmonic functions in a domain G is subset of Rm. The conditions under which the convergence of υn(x), as a sequence of generalized functions, implies its convergence in the Lebesgue spaces Lp(γ) are studied. The results similar to ours have been obtained earlier by Hör...