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Analysis in the Heisenberg group: weak s-John domains and the dimensions of graphs of Holder functions

Maki, John M.University of Illinois at Urbana-Champaign2011

… Carnot groups. We introduce weak s-John domains, in analogy with weak John domains, and we prove that weak s-John is equivalent to a localized version. This is applied in showing that a bounded C^{1,alpha} domain in R^3 will be a weak s-John domain in the first Heisenberg group. This …

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