Plurisubharmonic functions associated with uniform algebras

Kumagai, Donna

doi:10.1090/S0002-9939-1983-0681839-4

Plurisubharmonic functions associated with uniform algebras
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by Donna Kumagai

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

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

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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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Subharmonic functions and analytic structure in the maximal ideal space of a uniform algebra

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