viii CONTENT S 3. Note s 11 2 Chapter 7 . Fro m potentia l theor y t o th e geometr y o f a domai n 11 3 1. Asymptoticall y optimall y doublin g implie s Reifenber g vanishin g 11 3 2. Bac k t o chor d ar c domains 12 4 3. lo g k G VMO implie s vanishing chor d arc Ste p I 12 6 4. lo g k G VMO implie s vanishin g chor d arc Ste p I I 13 9 5. Note s 14 6 Chapter 8 . Highe r codimensio n an d furthe r regularit y result s 14 7 1. Note s 15 1 Bibliography 153
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