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Removable singularity sets for analytic functions having modulus with bounded Laplace mass

Author: Urban Cegrell
Journal: Proc. Amer. Math. Soc. 88 (1983), 283-286
MSC: Primary 32D20; Secondary 31C10
MathSciNet review: 695259
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Abstract: We prove that certain closed sets are removable singularity sets for analytic functions having modulus with bounded Laplace mass. As a special case, we find that every function which is analytic and with modulus having a harmonic majorant outside an analytic set extends analytically across this set.

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Keywords: Removable singularity set, analytic function, harmonic majorant
Article copyright: © Copyright 1983 American Mathematical Society

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