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Harmonic Measure and Domains Bounded by Quasiconformal Circles

Harmonic Measure and Domains Bounded by Quasiconformal Circles

We index the class of quasiconformal circles by k between zero and one such that k=Q corresponds to arbitrary Jordan curves and k=l to circles.We establish an estimate depending on k for harmonic measure in a domain bounded by a quasiconformal circle.Applications of this estimate are made to boundary correspondence …