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Theorems of the Phragmén–Lindelöf Type for Subfunctions in a Cone
Published online by Cambridge University Press: 29 December 2016
Abstract
Our first aim in this paper is to deal with the maximum principle for subfunctions in an arbitrary unbounded domain. As an application, we next give a result concerning the classical Phragmén–Lindelöf theorem for subfunctions in a cone. For a subfunction defined in a cone that is dominated on the boundary by a certain function, we finally generalize the Phragmén–Lindelöf type theorem by making a generalized harmonic majorant of it.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 60 , Issue 3 , August 2017 , pp. 739 - 751
- Copyright
- Copyright © Edinburgh Mathematical Society 2017
Footnotes
Present address: School of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450046, People's Republic of China (qiaocqu@163.com).
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