Revista Matemática Iberoamericana
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Published online: 2011-12-06
Harmonic polynomials and tangent measures of harmonic measureMatthew Badger (1) University of Washington, Seattle, USA
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.
Keywords: Harmonic measure, tangent measures, spherical harmonics
Badger Matthew: Harmonic polynomials and tangent measures of harmonic measure. Rev. Mat. Iberoam. 27 (2011), 841-870. doi: 10.4171/RMI/654