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- W1517888927 abstract "We prove the equality statements for the classical symmetrization estimates for harmonic measure. In fact, we prove more general results for $alpha$-harmonic measure.break The $alpha$-harmonic measure is the hitting distribution of symmetric $alpha$-stable processes upon exiting an open set in $mathbb{R^n}$ ($0<alpha<2$, $ngeq2$). It can also be defined in the context of Riesz potential theory and the fractional Laplacian. We prove polarization and symmetrization inequalities for $alpha$-harmonic measure. We give a complete description of the corresponding equality cases. The proofs involve analytic and probabilistic arguments." @default.
- W1517888927 created "2016-06-24" @default.
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- W1517888927 date "2008-01-01" @default.
- W1517888927 modified "2023-10-16" @default.
- W1517888927 title "Symmetrization and harmonic measure" @default.
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- W1517888927 doi "https://doi.org/10.1215/ijm/1254403722" @default.
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