The logarithm of the Poisson kernel of a $C^{1}$ domain has vanishing mean oscillation
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- by David S. Jerison and Carlos E. Kenig PDF
- Trans. Amer. Math. Soc. 273 (1982), 781-794 Request permission
Abstract:
Let $D$ be a ${C^1}$ domain in ${{\mathbf {R}}^n}$, and $\omega$ the harmonic measure of $\partial D$, with respect to a fixed pole in $D$. Then, $d\omega = kd\sigma$, where $k$ is the Poisson kernel of $D$. We show that log $k$ has vanishing mean oscillation of $\partial D$.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 273 (1982), 781-794
- MSC: Primary 31B25; Secondary 42B99
- DOI: https://doi.org/10.1090/S0002-9947-1982-0667174-2
- MathSciNet review: 667174