Plurisubharmonic functions associated with uniform algebras

Author:
Donna Kumagai

Journal:
Proc. Amer. Math. Soc. **87** (1983), 303-308

MSC:
Primary 46J10; Secondary 32F05

DOI:
https://doi.org/10.1090/S0002-9939-1983-0681839-4

MathSciNet review:
681839

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1983-0681839-4

Keywords:
Plurisubharmonicity,
subharmonicity,
uniform algebras,
analytic structure,
Shilov boundary

Article copyright:
© Copyright 1983
American Mathematical Society