Abstract
Let E be a regular compact subset of the real line, let Open image in new window be the Green function of the complement of E with respect to the extended complex plane \({\overline {\rm C}}\) with pole at ∞. We construct two examples of sets E of the minimum Hausdorff dimension with Open image in new window satisfying the Holder condition with p = 1/2 either uniformly or locally.
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