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arXiv · 0910.2591

Harmonic polynomials and tangent measures of harmonic measure

Matthew Badger
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Abstract

We show that on an NTA domain if each tangent measure to harmonic measure at a point is a polynomial harmonic measure then the associated polynomials are homogeneous. Geometric information for solutions of a two-phase free boundary problem studied by Kenig and Toro is derived.

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Matthew Badger. 2009-10-14. Harmonic polynomials and tangent measures of harmonic measure. https://arxiv.org/abs/0910.2591

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