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

Cegrell, Urban

doi:10.1090/S0002-9939-1983-0695259-X

Removable singularity sets for analytic functions having modulus with bounded Laplace mass
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Proc. Amer. Math. Soc. 88 (1983), 283-286 Request permission

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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