A meromorphic mapping from a relatively compact domain 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∂D.
Meromorphic Maps in the Nevanlinna Class / G. PATRIZIO; MOLZON R. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 91:(1984), pp. 395-398. [10.1090/S0002-9939-1984-0744637-X]
Meromorphic Maps in the Nevanlinna Class
PATRIZIO, GIORGIO;
1984
Abstract
A meromorphic mapping from a relatively compact domain 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∂D.
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