Harmonic measure, infinite kernels, and symmetrization

Velling, John

doi:10.1090/S0002-9939-96-03562-9

Harmonic measure, infinite kernels, and symmetrization
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by John A. Velling PDF

Proc. Amer. Math. Soc. 124 (1996), 3739-3743 Request permission

Abstract:

The vanishing of area for the infinite Nielsen kernel of an arbitrary open Riemann surface is shown to follow from iteration of a natural geometric operation on the unit disk. This operation compares the distribution of harmonic measure on the boundaries of two related simply connected domains, and is not yet sufficiently well understood.

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