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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Plurisubharmonic functions associated with uniform algebras

Author: Donna Kumagai
Journal: Proc. Amer. Math. Soc. 87 (1983), 303-308
MSC: Primary 46J10; Secondary 32F05
MathSciNet review: 681839
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Abstract: We have proved earlier that a certain class of functions, which is useful in the study of analytic structure associated with a uniform algebra, is plurisubharmonic, if the algebra satisfies Basener's conjecture. In this paper we prove the plurisubharmonicity of these functions without the hypothesis of Basener's conjecture.

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Keywords: Plurisubharmonicity, subharmonicity, uniform algebras, analytic structure, Shilov boundary
Article copyright: © Copyright 1983 American Mathematical Society