Non-polar points for reflected brownian motion
The angular distribution of mass by Bergman functions.
Let D = {z: |z| < 1} be the unit disk in the complex plane and denote by dA two-dimensional Lebesgue measure on D. For ε > 0 we define Σε = {z: |arg z| < ε}. We prove that for every ε > 0 there exists a δ > 0 such that if f is analytic, univalent and area-integrable on D, and f(0) = 0 then This problem arose in connection with a characterization by Hamilton, Reich and Strebel of extremal dilatation for quasiconformal...
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