Necessary conditions in Phragmen-Lindelf type estimates and decomposition of holomorphic functions

作者：Liess Otto^*

来源：Mathematische Nachrichten, 2017, 290(8-9): 1328-1346.

DOI：10.1002/mana.201500409

• Phragmen-Lindelof principle
• maximum principles
• subharmonic functions

We study Phragmen-Lindelof type estimates for subharmonic and holomorphic functions in one variable and discuss the relation between the two cases. Our main result gives for the type of results which we consider necessary and almost sufficient conditions under which these principles hold.

• 出版日期2017-6