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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Meromorphic maps in the Nevanlinna class


Authors: R. E. Molzon and G. Patrizio
Journal: Proc. Amer. Math. Soc. 91 (1984), 395-398
MSC: Primary 32H30
MathSciNet review: 744637
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Abstract: A meromorphic mapping from a relatively compact domain $ \mathcal{D}$ in a complex manifold to complex projective space is shown to be in the Nevanlinna class provided the mapping omits a set of hyperplanes of positive capacity. As a consequence, such mappings have admissible limits almost everywhere on $ \partial \mathcal{D}$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0744637-X
PII: S 0002-9939(1984)0744637-X
Article copyright: © Copyright 1984 American Mathematical Society