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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On Essén's generalization of the Ahlfors-Heins theorem


Author: John L. Lewis
Journal: Trans. Amer. Math. Soc. 172 (1972), 339-345
MSC: Primary 31A05
MathSciNet review: 0310265
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Abstract: Recently, Essén has proven a generalization of the Ahlfors-Heins Theorem. In this paper we use Essén's Theorem to obtain a different generalization of the Ahlfors-Heins Theorem.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0310265-X
PII: S 0002-9947(1972)0310265-X
Keywords: Subharmonic functions, harmonic functions, boundary values, $ \cos \pi \lambda $ inequality, limit in the sense of Ahlfors-Heins
Article copyright: © Copyright 1972 American Mathematical Society