Theorems of the Phragmén–Lindelöf Type for Subfunctions in a Cone
2016 ◽
Vol 60
(3)
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pp. 739-751
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Keyword(s):
AbstractOur 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.
1986 ◽
Vol 108
(4)
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pp. 330-339
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2017 ◽
Vol 55
(5)
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pp. 2905-2935
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Keyword(s):
2008 ◽
Vol 18
(04)
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pp. 511-541
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1990 ◽
Vol 65
(1)
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pp. 255-270
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Keyword(s):